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Class 9 Mathematics - Introduction to Polynomials - Definition of polynomial Easy Quiz

Mathematics Introduction to Polynomials Definition of polynomial Easy Class 9 Topic Quiz

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Question 1/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

निम्न में से कौन सा (x) में बहुपद है?

Which of the following is a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. \(3x^2-5x+1\)

Explanation

Simple Explanation

बहुपद में चर की घात पूर्ण अशून्य या शून्य संख्या होनी चाहिए। \(3x^2-5x+1\) में घातें (2), (1), और (0) हैं। / In a polynomial, powers of the variable must be whole numbers including zero. In \(3x^2-5x+1\), the powers are (2), (1), and (0).

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Question 2/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

निम्न में से कौन सा (x) में बहुपद नहीं है?

Which of the following is not a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

C. \(\frac{5}{x}+1\)

Explanation

Simple Explanation

\(\frac{5}{x}\) में चर हर में है, अर्थात घात (-1) है। ऋणात्मक घात वाला व्यंजक बहुपद नहीं होता। / In \(\frac{5}{x}\), the variable is in the denominator, meaning the power is (-1). An expression with a negative power is not a polynomial.

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Question 3/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद में चर की घात कैसी होनी चाहिए?

What type of powers should the variable have in a polynomial?

Explanation opens after your attempt
Correct Answer

C. पूर्ण अशून्य या शून्य पूर्णांकNon-negative integers including zero

Explanation

Simple Explanation

बहुपद में चर की घात (0,1,2,3) जैसी हो सकती है। भिन्न या ऋणात्मक घात बहुपद की परिभाषा में नहीं आती। / In a polynomial, powers can be like (0,1,2,3). Fractional or negative powers do not fit the definition of a polynomial.

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Question 4/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(4x^3-2x+8\) में सबसे बड़ी घात क्या है?

What is the highest power in the expression \(4x^3-2x+8\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

सबसे बड़ी घात (3) है। बहुपद की डिग्री सबसे बड़ी घात से पहचानी जाती है। / The highest power is (3). The degree of a polynomial is identified by the highest power.

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Question 5/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक (6x+11) किस प्रकार का बहुपद है?

What type of polynomial is (6x+11)?

Explanation opens after your attempt
Correct Answer

A. रेखीय बहुपदLinear polynomial

Explanation

Simple Explanation

इस बहुपद की सबसे बड़ी घात (1) है। घात (1) वाला बहुपद रेखीय बहुपद कहलाता है। / The highest power of this polynomial is (1). A polynomial of degree (1) is called a linear polynomial.

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Question 6/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(5x^2+2x-3\) किस प्रकार का बहुपद है?

What type of polynomial is \(5x^2+2x-3\)?

Explanation opens after your attempt
Correct Answer

B. द्विघात बहुपदQuadratic polynomial

Explanation

Simple Explanation

इसमें सबसे बड़ी घात (2) है। घात (2) वाला बहुपद द्विघात बहुपद होता है। / Its highest power is (2). A polynomial of degree (2) is a quadratic polynomial.

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Question 7/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(2x^3+x^2-7\) किस प्रकार का बहुपद है?

What type of polynomial is \(2x^3+x^2-7\)?

Explanation opens after your attempt
Correct Answer

C. त्रिघात बहुपदCubic polynomial

Explanation

Simple Explanation

इस बहुपद की सबसे बड़ी घात (3) है। घात (3) वाला बहुपद त्रिघात बहुपद कहलाता है। / The highest power of this polynomial is (3). A polynomial of degree (3) is called a cubic polynomial.

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Question 8/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक (12) को किस प्रकार माना जाएगा?

How will the expression (12) be considered?

Explanation opens after your attempt
Correct Answer

D. नियतांक बहुपदConstant polynomial

Explanation

Simple Explanation

(12) में कोई चर नहीं है, इसलिए यह नियतांक बहुपद है। अशून्य नियतांक बहुपद की डिग्री (0) होती है। / (12) has no variable, so it is a constant polynomial. A non-zero constant polynomial has degree (0).

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Question 9/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

क्या (0) एक बहुपद है?

Is (0) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, यह शून्य बहुपद हैYes, it is the zero polynomial

Explanation

Simple Explanation

(0) को शून्य बहुपद माना जाता है। इसकी डिग्री परिभाषित नहीं होती। / (0) is considered the zero polynomial. Its degree is not defined.

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Question 10/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

निम्न में से कौन सा नियतांक बहुपद है?

Which of the following is a constant polynomial?

Explanation opens after your attempt
Correct Answer

C. (-8)

Explanation

Simple Explanation

नियतांक बहुपद में चर नहीं होता। (-8) केवल एक संख्या है, इसलिए यह नियतांक बहुपद है। / A constant polynomial has no variable. (-8) is only a number, so it is a constant polynomial.

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Question 11/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

कौन सा व्यंजक बहुपद की परिभाषा को पूरा करता है?

Which expression satisfies the definition of a polynomial?

Explanation opens after your attempt
Correct Answer

B. \(x^2+4x+4\)

Explanation

Simple Explanation

\(x^2+4x+4\) में चर की घातें अशून्य या शून्य पूर्णांक हैं। इसलिए यह बहुपद है। / In \(x^2+4x+4\), the powers of the variable are non-negative integers. Therefore it is a polynomial.

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Question 12/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(x^{\frac{1}{2}}+3\) बहुपद क्यों नहीं है?

Why is \(x^{\frac{1}{2}}+3\) not a polynomial?

Explanation opens after your attempt
Correct Answer

B. क्योंकि इसमें घात भिन्न हैBecause it has a fractional power

Explanation

Simple Explanation

बहुपद में चर की घात भिन्न नहीं हो सकती। \(x^{\frac{1}{2}}\) की घात \(\frac{1}{2}\) है। / In a polynomial, the power of the variable cannot be fractional. The power of \(x^{\frac{1}{2}}\) is \(\frac{1}{2}\).

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Question 13/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(x^{-3}+2\) बहुपद क्यों नहीं है?

Why is \(x^{-3}+2\) not a polynomial?

Explanation opens after your attempt
Correct Answer

A. क्योंकि घात ऋणात्मक हैBecause the power is negative

Explanation

Simple Explanation

बहुपद में चर की घात ऋणात्मक नहीं हो सकती। यहां (x) की घात (-3) है। / In a polynomial, the power of the variable cannot be negative. Here the power of (x) is (-3).

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Question 14/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

(x) में बहुपद \(7x^4-3x^2+1\) की डिग्री क्या है?

What is the degree of the polynomial \(7x^4-3x^2+1\) in (x)?

Explanation opens after your attempt
Correct Answer

D. (4)

Explanation

Simple Explanation

सबसे बड़ी घात (4) है। इसलिए बहुपद की डिग्री (4) होगी। / The highest power is (4). Therefore the degree of the polynomial is (4).

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Question 15/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

किस व्यंजक में चर हर में होने के कारण बहुपद नहीं बनता?

Which expression is not a polynomial because the variable is in the denominator?

Explanation opens after your attempt
Correct Answer

B. \(\frac{3}{x}+5\)

Explanation

Simple Explanation

\(\frac{3}{x}\) में (x) हर में है, इसलिए यह \(x^{-1}\) जैसा है। ऋणात्मक घात बहुपद में स्वीकार नहीं होती। / In \(\frac{3}{x}\), (x) is in the denominator, so it is like \(x^{-1}\). Negative powers are not accepted in polynomials.

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Question 16/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद \(2x^5+x-6\) में कितने पद हैं?

How many terms are there in the polynomial \(2x^5+x-6\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

पद \(2x^5\), (x), और (-6) हैं। इसलिए कुल (3) पद हैं। / The terms are \(2x^5\), (x), and (-6). So there are (3) terms.

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Question 17/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(x^2+2x+1\) में सबसे बड़ी घात किस पद में है?

In \(x^2+2x+1\), which term has the highest power?

Explanation opens after your attempt
Correct Answer

A. \(x^2\)

Explanation

Simple Explanation

सबसे बड़ी घात (2) है, जो \(x^2\) पद में है। डिग्री खोजते समय सबसे बड़ी घात देखें। / The highest power is (2), which is in the term \(x^2\). While finding degree, look at the highest power.

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Question 18/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

निम्न में से कौन सा रेखीय बहुपद है?

Which of the following is a linear polynomial?

Explanation opens after your attempt
Correct Answer

B. (5x-2)

Explanation

Simple Explanation

(5x-2) की सबसे बड़ी घात (1) है। इसलिए यह रेखीय बहुपद है। / The highest power of (5x-2) is (1). Therefore it is a linear polynomial.

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Question 19/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

निम्न में से कौन सा द्विघात बहुपद है?

Which of the following is a quadratic polynomial?

Explanation opens after your attempt
Correct Answer

A. \(4x^2-1\)

Explanation

Simple Explanation

\(4x^2-1\) में सबसे बड़ी घात (2) है। इसलिए यह द्विघात बहुपद है। / In \(4x^2-1\), the highest power is (2). Therefore it is a quadratic polynomial.

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Question 20/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

निम्न में से कौन सा त्रिघात बहुपद है?

Which of the following is a cubic polynomial?

Explanation opens after your attempt
Correct Answer

C. \(x^3+3x-1\)

Explanation

Simple Explanation

\(x^3+3x-1\) की सबसे बड़ी घात (3) है। इसलिए यह त्रिघात बहुपद है। / The highest power of \(x^3+3x-1\) is (3). Therefore it is a cubic polynomial.

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Question 21/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(2x^2+\sqrt{3}x+5\) क्या है?

What is the expression \(2x^2+\sqrt{3}x+5\)?

Explanation opens after your attempt
Correct Answer

A. बहुपदPolynomial

Explanation

Simple Explanation

\(\sqrt{3}\) एक वास्तविक गुणांक है और (x) की घात (1) है। इसलिए यह बहुपद है। / \(\sqrt{3}\) is a real coefficient and the power of (x) is (1). So it is a polynomial.

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Question 22/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(\sqrt{x}+2x\) क्या है?

What is the expression \(\sqrt{x}+2x\)?

Explanation opens after your attempt
Correct Answer

C. बहुपद नहींNot a polynomial

Explanation

Simple Explanation

\(\sqrt{x}=x^{\frac{1}{2}}\) होता है, जिसमें चर की घात भिन्न है। इसलिए यह बहुपद नहीं है। / \(\sqrt{x}=x^{\frac{1}{2}}\), which has a fractional power of the variable. Therefore it is not a polynomial.

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Question 23/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद \(9x^2\) में नियतांक पद क्या है?

What is the constant term in the polynomial \(9x^2\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Explanation

Simple Explanation

\(9x^2\) में बिना चर वाला कोई पद नहीं लिखा है। इसलिए नियतांक पद (0) माना जाता है। / In \(9x^2\), no term without a variable is written. So the constant term is taken as (0).

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Question 24/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद \(x^4+x^2+x\) में \(x^3\) का गुणांक क्या है?

What is the coefficient of \(x^3\) in the polynomial \(x^4+x^2+x\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Explanation

Simple Explanation

इस बहुपद में \(x^3\) पद नहीं है। इसलिए \(x^3\) का गुणांक (0) माना जाता है। / The term \(x^3\) is not present in this polynomial. So the coefficient of \(x^3\) is taken as (0).

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Question 25/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(x^0+2x\) बहुपद है या नहीं?

Is the expression \(x^0+2x\) a polynomial or not?

Explanation opens after your attempt
Correct Answer

A. हां, बहुपद हैYes, it is a polynomial

Explanation

Simple Explanation

\(x^0=1\) और (2x) में घात (1) है। दोनों घातें बहुपद के लिए मान्य हैं। / \(x^0=1\), and (2x) has power (1). Both powers are valid for a polynomial.

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Question 26/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

कौन सा व्यंजक एकपदी बहुपद है?

Which expression is a monomial polynomial?

Explanation opens after your attempt
Correct Answer

A. \(3x^2\)

Explanation

Simple Explanation

एकपदी बहुपद में केवल एक पद होता है। \(3x^2\) एक पद वाला बहुपद है। / A monomial polynomial has only one term. \(3x^2\) is a polynomial with one term.

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Question 27/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

कौन सा व्यंजक द्विपदी बहुपद है?

Which expression is a binomial polynomial?

Explanation opens after your attempt
Correct Answer

B. \(x^2-4\)

Explanation

Simple Explanation

द्विपदी में दो पद होते हैं। \(x^2-4\) में \(x^2\) और (-4) दो पद हैं। / A binomial has two terms. \(x^2-4\) has the two terms \(x^2\) and (-4).

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Question 28/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

कौन सा व्यंजक त्रिपदी बहुपद है?

Which expression is a trinomial polynomial?

Explanation opens after your attempt
Correct Answer

A. \(x^2+3x+2\)

Explanation

Simple Explanation

त्रिपदी में तीन पद होते हैं। \(x^2+3x+2\) में तीन पद हैं और सभी घातें मान्य हैं। / A trinomial has three terms. \(x^2+3x+2\) has three terms and all powers are valid.

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Question 29/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

क्या \(\frac{x}{2}+3\) (x) में बहुपद है?

Is \(\frac{x}{2}+3\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. हां, क्योंकि चर की घात (1) हैYes, because the power of the variable is (1)

Explanation

Simple Explanation

\(\frac{x}{2}\) में (x) की घात (1) है और गुणांक \(\frac{1}{2}\) है। इसलिए यह बहुपद है। / In \(\frac{x}{2}\), the power of (x) is (1) and the coefficient is \(\frac{1}{2}\). Therefore it is a polynomial.

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Question 30/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

क्या \(\frac{1}{2}x^2-7\) बहुपद है?

Is \(\frac{1}{2}x^2-7\) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि गुणांक भिन्न हो सकता हैYes, because the coefficient can be a fraction

Explanation

Simple Explanation

बहुपद में गुणांक वास्तविक संख्या हो सकते हैं। यहां (x) की घात (2) है, इसलिए यह बहुपद है। / Coefficients in a polynomial can be real numbers. Here the power of (x) is (2), so it is a polynomial.

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Question 31/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

किस व्यंजक में चर की घात \(\frac{3}{2}\) होने से वह बहुपद नहीं है?

Which expression is not a polynomial because the variable has power \(\frac{3}{2}\)?

Explanation opens after your attempt
Correct Answer

B. \(x^{\frac{3}{2}}+1\)

Explanation

Simple Explanation

\(\frac{3}{2}\) भिन्न घात है। बहुपद में चर की घात केवल अशून्य या शून्य पूर्णांक होती है। / \(\frac{3}{2}\) is a fractional power. In a polynomial, the variable power must be only a non-negative integer.

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Question 32/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद \(3x^2-5x+6\) की डिग्री क्या है?

What is the degree of the polynomial \(3x^2-5x+6\)?

Explanation opens after your attempt
Correct Answer

C. (2)

Explanation

Simple Explanation

सबसे बड़ी घात (2) है। इसलिए बहुपद की डिग्री (2) है। / The highest power is (2). Therefore the degree of the polynomial is (2).

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Question 33/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद (8x-13) की डिग्री क्या है?

What is the degree of the polynomial (8x-13)?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

सबसे बड़ी घात (1) है। इसलिए (8x-13) की डिग्री (1) है। / The highest power is (1). Therefore the degree of (8x-13) is (1).

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Question 34/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

अशून्य नियतांक बहुपद की डिग्री क्या होती है?

What is the degree of a non-zero constant polynomial?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

अशून्य नियतांक बहुपद की डिग्री (0) होती है। उदाहरण के लिए \(5=5x^0\) माना जा सकता है। / A non-zero constant polynomial has degree (0). For example, (5) can be considered as \(5x^0\).

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Question 35/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

शून्य बहुपद की डिग्री के बारे में सही कथन कौन सा है?

Which statement is correct about the degree of the zero polynomial?

Explanation opens after your attempt
Correct Answer

C. इसकी डिग्री परिभाषित नहीं हैIts degree is not defined

Explanation

Simple Explanation

शून्य बहुपद की डिग्री परिभाषित नहीं होती। परीक्षा में इसे अशून्य नियतांक बहुपद से अलग समझें। / The degree of the zero polynomial is not defined. In exams, distinguish it from a non-zero constant polynomial.

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Question 36/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

निम्न में से कौन सा (x) में बहुपद है लेकिन (y) शामिल नहीं करता?

Which of the following is a polynomial in (x) and does not include (y)?

Explanation opens after your attempt
Correct Answer

A. \(2x^2+3x-1\)

Explanation

Simple Explanation

\(2x^2+3x-1\) में केवल (x) है और घातें मान्य हैं। इसलिए यह (x) में बहुपद है। / \(2x^2+3x-1\) has only (x) and valid powers. Therefore it is a polynomial in (x).

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Question 37/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

किस विकल्प में बहुपद के सभी पदों में चर की घात मान्य है?

In which option do all terms have valid powers of the variable for a polynomial?

Explanation opens after your attempt
Correct Answer

A. \(x^2+x+1\)

Explanation

Simple Explanation

\(x^2+x+1\) में घातें (2), (1), और (0) हैं। ये बहुपद के लिए मान्य घातें हैं। / In \(x^2+x+1\), the powers are (2), (1), and (0). These are valid powers for a polynomial.

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Question 38/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद \(4x^3-9x^2+x-2\) में अग्रणी पद कौन सा है?

What is the leading term in the polynomial \(4x^3-9x^2+x-2\)?

Explanation opens after your attempt
Correct Answer

A. \(4x^3\)

Explanation

Simple Explanation

सबसे बड़ी घात वाला पद अग्रणी पद होता है। यहां सबसे बड़ी घात (3) है, इसलिए अग्रणी पद \(4x^3\) है। / The term with the highest power is the leading term. Here the highest power is (3), so the leading term is \(4x^3\).

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Question 39/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद \(5x^4+2x^2-1\) का अग्रणी गुणांक क्या है?

What is the leading coefficient of the polynomial \(5x^4+2x^2-1\)?

Explanation opens after your attempt
Correct Answer

A. (5)

Explanation

Simple Explanation

अग्रणी पद \(5x^4\) है। इसलिए अग्रणी गुणांक (5) है। / The leading term is \(5x^4\). Therefore the leading coefficient is (5).

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Question 40/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(2x^2+\frac{3}{x}\) बहुपद है या नहीं?

Is the expression \(2x^2+\frac{3}{x}\) a polynomial or not?

Explanation opens after your attempt
Correct Answer

B. नहीं, क्योंकि \(\frac{3}{x}\) में चर हर में हैNo, because in \(\frac{3}{x}\) the variable is in the denominator

Explanation

Simple Explanation

\(\frac{3}{x}\) में (x) की घात (-1) है। इसलिए पूरा व्यंजक बहुपद नहीं है। / In \(\frac{3}{x}\), the power of (x) is (-1). Therefore the whole expression is not a polynomial.

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Question 41/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

कौन सा व्यंजक (x) में बहुपद नहीं है लेकिन केवल एक पद रखता है?

Which expression is not a polynomial in (x) but has only one term?

Explanation opens after your attempt
Correct Answer

A. \(\frac{1}{x}\)

Explanation

Simple Explanation

\(\frac{1}{x}=x^{-1}\) है, इसलिए यह बहुपद नहीं है। एक पद होना पर्याप्त नहीं है, घात भी मान्य होनी चाहिए। / \(\frac{1}{x}=x^{-1}\), so it is not a polynomial. Having one term is not enough; the power must also be valid.

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Question 42/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद \(x^2+0x+4\) को सरल रूप में कैसे लिखेंगे?

How will the polynomial \(x^2+0x+4\) be written in simplified form?

Explanation opens after your attempt
Correct Answer

A. \(x^2+4\)

Explanation

Simple Explanation

(0x=0), इसलिए \(x^2+0x+4=x^2+4\)। शून्य गुणांक वाला पद हटाया जा सकता है। / (0x=0), so \(x^2+0x+4=x^2+4\). A term with zero coefficient can be removed.

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Question 43/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

किस बहुपद में \(x^2\) का गुणांक (0) है?

In which polynomial is the coefficient of \(x^2\) equal to (0)?

Explanation opens after your attempt
Correct Answer

B. (3x+7)

Explanation

Simple Explanation

(3x+7) में \(x^2\) पद नहीं है। इसलिए \(x^2\) का गुणांक (0) माना जाता है। / In (3x+7), the \(x^2\) term is absent. So the coefficient of \(x^2\) is taken as (0).

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Question 44/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

व्यंजक \(3x^2+2x^{-1}+1\) बहुपद क्यों नहीं है?

Why is \(3x^2+2x^{-1}+1\) not a polynomial?

Explanation opens after your attempt
Correct Answer

C. क्योंकि इसमें \(x^{-1}\) हैBecause it has \(x^{-1}\)

Explanation

Simple Explanation

\(x^{-1}\) में चर की घात ऋणात्मक है। बहुपद में ऋणात्मक घात नहीं हो सकती। / In \(x^{-1}\), the power of the variable is negative. A polynomial cannot have a negative power.

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Question 45/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

क्या \(3x^2+2x+1\) एक बहुपद है?

Is \(3x^2+2x+1\) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि घातें (2), (1), और (0) हैंYes, because the powers are (2), (1), and (0)

Explanation

Simple Explanation

सभी घातें अशून्य या शून्य पूर्णांक हैं। इसलिए \(3x^2+2x+1\) बहुपद है। / All powers are non-negative integers. Therefore \(3x^2+2x+1\) is a polynomial.

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Question 46/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

किस विकल्प में बहुपद को मानक रूप में घटती घातों में लिखा गया है?

Which option writes a polynomial in standard form with descending powers?

Explanation opens after your attempt
Correct Answer

C. \(x^3+2x^2+x+5\)

Explanation

Simple Explanation

मानक रूप में पदों को घटती घातों में लिखते हैं। \(x^3+2x^2+x+5\) में घातें (3), (2), (1), (0) क्रम में हैं। / In standard form, terms are written in descending powers. In \(x^3+2x^2+x+5\), powers are in the order (3), (2), (1), (0).

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Question 47/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद \(2x^2-3x+5\) में (x) का गुणांक क्या है?

What is the coefficient of (x) in the polynomial \(2x^2-3x+5\)?

Explanation opens after your attempt
Correct Answer

B. (-3)

Explanation

Simple Explanation

(x) वाला पद (-3x) है। इसलिए (x) का गुणांक (-3) है। / The term containing (x) is (-3x). Therefore the coefficient of (x) is (-3).

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Question 48/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

किस विकल्प में बहुपद की सही परिभाषा दी गई है?

Which option gives the correct definition of a polynomial?

Explanation opens after your attempt
Correct Answer

C. ऐसा व्यंजक जिसमें चर की घातें अशून्य या शून्य पूर्णांक होंAn expression in which variable powers are non-negative integers

Explanation

Simple Explanation

बहुपद में चर की घातें (0,1,2,3) जैसी होती हैं। यही बहुपद की मूल परिभाषा है। / In a polynomial, variable powers are like (0,1,2,3). This is the basic definition of a polynomial.

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Question 49/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

निम्न में से कौन सा व्यंजक केवल घात के कारण बहुपद नहीं है?

Which expression is not a polynomial only because of the power?

Explanation opens after your attempt
Correct Answer

B. \(x^{\frac{2}{3}}+1\)

Explanation

Simple Explanation

\(x^{\frac{2}{3}}\) में घात भिन्न है। बहुपद में ऐसी घात नहीं होती। / In \(x^{\frac{2}{3}}\), the power is fractional. Such a power is not allowed in a polynomial.

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Question 50/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 28

बहुपद \(x^5-4x^3+x-2\) की डिग्री क्या है?

What is the degree of the polynomial \(x^5-4x^3+x-2\)?

Explanation opens after your attempt
Correct Answer

D. (5)

Explanation

Simple Explanation

सबसे बड़ी घात (5) है। इसलिए इस बहुपद की डिग्री (5) है। / The highest power is (5). Therefore the degree of this polynomial is (5).

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Question 51/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(9x^4-2x+1\) की डिग्री क्या है?

What is the degree of \(9x^4-2x+1\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

सबसे बड़ी घात (4) है। इसलिए बहुपद की डिग्री (4) है। / The highest power is (4). Therefore the degree of the polynomial is (4).

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Question 52/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक (3x-10) किस प्रकार का बहुपद है?

What type of polynomial is (3x-10)?

Explanation opens after your attempt
Correct Answer

A. रेखीय बहुपदLinear polynomial

Explanation

Simple Explanation

इसमें सबसे बड़ी घात (1) है। डिग्री (1) वाला बहुपद रेखीय बहुपद कहलाता है। / Its highest power is (1). A polynomial of degree (1) is called a linear polynomial.

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Question 53/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(x^2-8x+12\) किस प्रकार का बहुपद है?

What type of polynomial is \(x^2-8x+12\)?

Explanation opens after your attempt
Correct Answer

B. द्विघात बहुपदQuadratic polynomial

Explanation

Simple Explanation

इसमें सबसे बड़ी घात (2) है। डिग्री (2) वाला बहुपद द्विघात बहुपद होता है। / Its highest power is (2). A polynomial of degree (2) is a quadratic polynomial.

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Question 54/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(4x^3+x-6\) किस प्रकार का बहुपद है?

What type of polynomial is \(4x^3+x-6\)?

Explanation opens after your attempt
Correct Answer

C. त्रिघात बहुपदCubic polynomial

Explanation

Simple Explanation

सबसे बड़ी घात (3) है। इसलिए यह त्रिघात बहुपद है। / The highest power is (3). Therefore it is a cubic polynomial.

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Question 55/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक (-15) को किस रूप में माना जाता है?

How is the expression (-15) considered?

Explanation opens after your attempt
Correct Answer

D. नियतांक बहुपदConstant polynomial

Explanation

Simple Explanation

(-15) में कोई चर नहीं है। इसलिए यह नियतांक बहुपद है। / (-15) has no variable. Therefore it is a constant polynomial.

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Question 56/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

शून्य बहुपद के बारे में सही कथन कौन सा है?

Which statement is correct about the zero polynomial?

Explanation opens after your attempt
Correct Answer

A. इसकी डिग्री परिभाषित नहीं होतीIts degree is not defined

Explanation

Simple Explanation

(0) को शून्य बहुपद माना जाता है। इसकी डिग्री परिभाषित नहीं होती। / (0) is considered the zero polynomial. Its degree is not defined.

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Question 57/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(x^{\frac{5}{2}}-1\) बहुपद क्यों नहीं है?

Why is \(x^{\frac{5}{2}}-1\) not a polynomial?

Explanation opens after your attempt
Correct Answer

B. क्योंकि चर की घात भिन्न हैBecause the variable has a fractional power

Explanation

Simple Explanation

घात \(\frac{5}{2}\) भिन्न है। बहुपद में ऐसी घात मान्य नहीं होती। / The power \(\frac{5}{2}\) is fractional. Such a power is not valid in a polynomial.

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Question 58/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(x^{-2}+7x\) बहुपद क्यों नहीं है?

Why is \(x^{-2}+7x\) not a polynomial?

Explanation opens after your attempt
Correct Answer

A. क्योंकि \(x^{-2}\) की घात ऋणात्मक हैBecause \(x^{-2}\) has a negative power

Explanation

Simple Explanation

बहुपद में चर की घात ऋणात्मक नहीं हो सकती। यहां (-2) ऋणात्मक घात है। / A variable in a polynomial cannot have a negative power. Here (-2) is a negative power.

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Question 59/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(5x^6-4x^2+9\) की डिग्री क्या है?

What is the degree of \(5x^6-4x^2+9\)?

Explanation opens after your attempt
Correct Answer

D. (6)

Explanation

Simple Explanation

सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है। / The highest power is (6). Therefore the degree is (6).

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Question 60/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(7x^3+2x^2-x+5\) में कितने पद हैं?

How many terms are there in \(7x^3+2x^2-x+5\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

पद \(7x^3\), \(2x^2\), (-x), और (5) हैं। इसलिए कुल (4) पद हैं। / The terms are \(7x^3\), \(2x^2\), (-x), and (5). So there are (4) terms.

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Question 61/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(2x^3+x^2+4\) में सबसे बड़ी घात किस पद में है?

In \(2x^3+x^2+4\), which term has the highest power?

Explanation opens after your attempt
Correct Answer

A. \(2x^3\)

Explanation

Simple Explanation

सबसे बड़ी घात (3) है। यह \(2x^3\) पद में है। / The highest power is (3). It is in the term \(2x^3\).

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Question 62/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(4x^2+\sqrt{5}x-9\) क्या है?

What is the expression \(4x^2+\sqrt{5}x-9\)?

Explanation opens after your attempt
Correct Answer

A. बहुपदPolynomial

Explanation

Simple Explanation

\(\sqrt{5}\) वास्तविक गुणांक है और (x) की घात (1) है। इसलिए यह बहुपद है। / \(\sqrt{5}\) is a real coefficient and the power of (x) is (1). Therefore it is a polynomial.

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Question 63/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(\sqrt{x}+5x^2\) क्या है?

What is the expression \(\sqrt{x}+5x^2\)?

Explanation opens after your attempt
Correct Answer

C. बहुपद नहींNot a polynomial

Explanation

Simple Explanation

\(\sqrt{x}\) को \(x^{\frac{1}{2}}\) लिखा जा सकता है। भिन्न घात होने से यह बहुपद नहीं है। / \(\sqrt{x}\) can be written as \(x^{\frac{1}{2}}\). Due to the fractional power, it is not a polynomial.

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Question 64/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(12x^3\) में नियतांक पद क्या है?

What is the constant term in the polynomial \(12x^3\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Explanation

Simple Explanation

इस बहुपद में बिना चर वाला पद नहीं है। इसलिए नियतांक पद (0) माना जाता है। / This polynomial has no term without a variable. So the constant term is taken as (0).

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Question 65/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(x^5+x^3+x\) में \(x^4\) का गुणांक क्या है?

What is the coefficient of \(x^4\) in the polynomial \(x^5+x^3+x\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Explanation

Simple Explanation

इस बहुपद में \(x^4\) पद नहीं है। इसलिए \(x^4\) का गुणांक (0) है। / The term \(x^4\) is not present in this polynomial. So the coefficient of \(x^4\) is (0).

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Question 66/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

क्या \(x^0-4x\) बहुपद है?

Is \(x^0-4x\) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) हैYes, because \(x^0=1\) and the power of (x) is (1)

Explanation

Simple Explanation

\(x^0\) की घात (0) है जो मान्य है। इसलिए \(x^0-4x\) बहुपद है। / The power in \(x^0\) is (0), which is valid. Therefore \(x^0-4x\) is a polynomial.

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Question 67/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

क्या \(\frac{3x}{5}+2\) (x) में बहुपद है?

Is \(\frac{3x}{5}+2\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. हां, क्योंकि (x) की घात (1) हैYes, because the power of (x) is (1)

Explanation

Simple Explanation

\(\frac{3x}{5}\) में (x) की घात (1) है और गुणांक \(\frac{3}{5}\) है। भिन्न गुणांक बहुपद में मान्य है। / In \(\frac{3x}{5}\), the power of (x) is (1) and the coefficient is \(\frac{3}{5}\). A fractional coefficient is valid in a polynomial.

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Question 68/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

क्या \(-\frac{2}{3}x^3+4\) बहुपद है?

Is \(-\frac{2}{3}x^3+4\) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि गुणांक वास्तविक संख्या हो सकते हैंYes, because coefficients can be real numbers

Explanation

Simple Explanation

गुणांक भिन्न या ऋणात्मक हो सकते हैं। यहां चर की घात (3) मान्य है। / Coefficients can be fractional or negative. Here the variable power (3) is valid.

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Question 69/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

किस व्यंजक में चर की घात \(\frac{4}{5}\) होने से वह बहुपद नहीं है?

Which expression is not a polynomial because the variable has power \(\frac{4}{5}\)?

Explanation opens after your attempt
Correct Answer

B. \(x^{\frac{4}{5}}+2\)

Explanation

Simple Explanation

\(\frac{4}{5}\) भिन्न घात है। बहुपद में चर की घात पूर्ण संख्या होनी चाहिए। / \(\frac{4}{5}\) is a fractional power. In a polynomial, the variable power must be a whole number.

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Question 70/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(6x^2-x+11\) की डिग्री क्या है?

What is the degree of \(6x^2-x+11\)?

Explanation opens after your attempt
Correct Answer

C. (2)

Explanation

Simple Explanation

सबसे बड़ी घात (2) है। इसलिए इस बहुपद की डिग्री (2) है। / The highest power is (2). Therefore the degree of this polynomial is (2).

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Question 71/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद (13x+2) की डिग्री क्या है?

What is the degree of (13x+2)?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

सबसे बड़ी घात (1) है। इसलिए (13x+2) की डिग्री (1) है। / The highest power is (1). Therefore the degree of (13x+2) is (1).

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Question 72/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

अशून्य नियतांक बहुपद (23) की डिग्री क्या है?

What is the degree of the non-zero constant polynomial (23)?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

अशून्य नियतांक बहुपद की डिग्री (0) होती है। (23) को \(23x^0\) माना जा सकता है। / A non-zero constant polynomial has degree (0). (23) can be considered as \(23x^0\).

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Question 73/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

शून्य बहुपद और अशून्य नियतांक बहुपद में डिग्री का मुख्य अंतर क्या है?

What is the main difference in degree between the zero polynomial and a non-zero constant polynomial?

Explanation opens after your attempt
Correct Answer

C. शून्य बहुपद की डिग्री परिभाषित नहीं है और अशून्य नियतांक की डिग्री (0) हैZero polynomial degree is not defined and non-zero constant degree is (0)

Explanation

Simple Explanation

शून्य बहुपद की डिग्री परिभाषित नहीं होती। अशून्य नियतांक बहुपद की डिग्री (0) होती है। / The degree of the zero polynomial is not defined. The degree of a non-zero constant polynomial is (0).

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Question 74/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

किस विकल्प में सभी घातें बहुपद के लिए मान्य हैं?

In which option are all powers valid for a polynomial?

Explanation opens after your attempt
Correct Answer

A. \(x^5+x^2+1\)

Explanation

Simple Explanation

\(x^5+x^2+1\) में घातें (5), (2), और (0) हैं। ये सभी बहुपद के लिए मान्य हैं। / In \(x^5+x^2+1\), the powers are (5), (2), and (0). All are valid for a polynomial.

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Question 75/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(-3x^4+2x^2-5x+1\) में अग्रणी पद कौन सा है?

What is the leading term of \(-3x^4+2x^2-5x+1\)?

Explanation opens after your attempt
Correct Answer

A. \(-3x^4\)

Explanation

Simple Explanation

सबसे बड़ी घात वाला पद अग्रणी पद होता है। यहां सबसे बड़ी घात (4) है। / The term with the highest power is the leading term. Here the highest power is (4).

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Question 76/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(-7x^3+4x-2\) का अग्रणी गुणांक क्या है?

What is the leading coefficient of \(-7x^3+4x-2\)?

Explanation opens after your attempt
Correct Answer

A. (-7)

Explanation

Simple Explanation

अग्रणी पद \(-7x^3\) है। इसलिए अग्रणी गुणांक (-7) है। / The leading term is \(-7x^3\). Therefore the leading coefficient is (-7).

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Question 77/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(5x^2-\frac{2}{x}\) बहुपद है या नहीं?

Is \(5x^2-\frac{2}{x}\) a polynomial or not?

Explanation opens after your attempt
Correct Answer

B. नहीं, क्योंकि \(\frac{2}{x}\) में चर हर में हैNo, because in \(\frac{2}{x}\) the variable is in the denominator

Explanation

Simple Explanation

\(\frac{2}{x}\) में (x) की घात (-1) है। इसलिए यह व्यंजक बहुपद नहीं है। / In \(\frac{2}{x}\), the power of (x) is (-1). Therefore this expression is not a polynomial.

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Question 78/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

कौन सा एकपदी है लेकिन बहुपद नहीं है?

Which is a monomial but not a polynomial?

Explanation opens after your attempt
Correct Answer

A. \(\frac{3}{x}\)

Explanation

Simple Explanation

\(\frac{3}{x}\) एक पद है लेकिन इसमें (x) की घात (-1) है। इसलिए यह बहुपद नहीं है। / \(\frac{3}{x}\) has one term but the power of (x) is (-1). Therefore it is not a polynomial.

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Question 79/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(3x^2+0x-7\) का सरल रूप क्या है?

What is the simplified form of \(3x^2+0x-7\)?

Explanation opens after your attempt
Correct Answer

A. \(3x^2-7\)

Explanation

Simple Explanation

(0x=0), इसलिए \(3x^2+0x-7=3x^2-7\)। शून्य गुणांक वाला पद हट सकता है। / (0x=0), so \(3x^2+0x-7=3x^2-7\). A term with zero coefficient can be removed.

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Question 80/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

किस बहुपद में \(x^3\) का गुणांक (0) है?

In which polynomial is the coefficient of \(x^3\) equal to (0)?

Explanation opens after your attempt
Correct Answer

B. \(4x^2+x+6\)

Explanation

Simple Explanation

\(4x^2+x+6\) में \(x^3\) पद नहीं है। इसलिए \(x^3\) का गुणांक (0) माना जाता है। / In \(4x^2+x+6\), the \(x^3\) term is absent. So the coefficient of \(x^3\) is taken as (0).

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Question 81/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(4x^3+x^{-2}+2\) बहुपद क्यों नहीं है?

Why is \(4x^3+x^{-2}+2\) not a polynomial?

Explanation opens after your attempt
Correct Answer

C. क्योंकि इसमें \(x^{-2}\) हैBecause it has \(x^{-2}\)

Explanation

Simple Explanation

\(x^{-2}\) में चर की घात ऋणात्मक है। बहुपद में ऋणात्मक घात स्वीकार नहीं होती। / In \(x^{-2}\), the power of the variable is negative. A negative power is not accepted in a polynomial.

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Question 82/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

क्या \(5x^3-2x^2+x-1\) एक बहुपद है?

Is \(5x^3-2x^2+x-1\) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि सभी घातें अशून्य या शून्य पूर्णांक हैंYes, because all powers are non-negative integers

Explanation

Simple Explanation

घातें (3), (2), (1), और (0) हैं। ये सभी बहुपद की परिभाषा के अनुसार मान्य हैं। / The powers are (3), (2), (1), and (0). All are valid according to the definition of a polynomial.

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Question 83/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(7x^2-4x+10\) में (x) का गुणांक क्या है?

What is the coefficient of (x) in \(7x^2-4x+10\)?

Explanation opens after your attempt
Correct Answer

B. (-4)

Explanation

Simple Explanation

(x) वाला पद (-4x) है। इसलिए (x) का गुणांक (-4) है। / The term containing (x) is (-4x). Therefore the coefficient of (x) is (-4).

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Question 84/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(2x^7-5x^4+x-3\) की डिग्री क्या है?

What is the degree of \(2x^7-5x^4+x-3\)?

Explanation opens after your attempt
Correct Answer

D. (7)

Explanation

Simple Explanation

सबसे बड़ी घात (7) है। इसलिए बहुपद की डिग्री (7) है। / The highest power is (7). Therefore the degree of the polynomial is (7).

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Question 85/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(4x^8-3\) की डिग्री क्या है?

What is the degree of the polynomial \(4x^8-3\)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

सबसे बड़ी घात (8) है। इसलिए बहुपद की डिग्री (8) है। / The highest power is (8). Therefore the degree of the polynomial is (8).

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Question 86/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

क्या \(-\sqrt{2}x+9\) (x) में बहुपद है?

Is \(-\sqrt{2}x+9\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि \(-\sqrt{2}\) वास्तविक गुणांक हैYes, because \(-\sqrt{2}\) is a real coefficient

Explanation

Simple Explanation

गुणांक वास्तविक संख्या हो सकते हैं। यहां (x) की घात (1) है, इसलिए यह बहुपद है। / Coefficients can be real numbers. Here the power of (x) is (1), so it is a polynomial.

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Question 87/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(\frac{x^2+1}{x}\) बहुपद क्यों नहीं है?

Why is \(\frac{x^2+1}{x}\) not a polynomial?

Explanation opens after your attempt
Correct Answer

B. क्योंकि चर हर में हैBecause the variable is in the denominator

Explanation

Simple Explanation

चर हर में आने पर ऋणात्मक घात बन सकती है। बहुपद में चर की ऋणात्मक घात मान्य नहीं होती। / When the variable is in the denominator, a negative power may appear. Negative powers of the variable are not valid in a polynomial.

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Question 88/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

किस विकल्प में (x) की सभी घातें बहुपद के लिए मान्य हैं?

In which option are all powers of (x) valid for a polynomial?

Explanation opens after your attempt
Correct Answer

C. \(x^6+x^3+x^0\)

Explanation

Simple Explanation

(6), (3), और (0) सभी अशून्य या शून्य पूर्णांक हैं। इसलिए ये घातें बहुपद के लिए मान्य हैं। / (6), (3), and (0) are all non-negative integers. Therefore these powers are valid for a polynomial.

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Question 89/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(10x^2-7x+4\) में नियतांक पद कौन सा है?

What is the constant term in the polynomial \(10x^2-7x+4\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

नियतांक पद में कोई चर नहीं होता। यहां (4) नियतांक पद है। / A constant term has no variable. Here (4) is the constant term.

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Question 90/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(5x^2+3x+2x^{-1}\) बहुपद है या नहीं?

Is \(5x^2+3x+2x^{-1}\) a polynomial or not?

Explanation opens after your attempt
Correct Answer

C. नहीं, क्योंकि \(x^{-1}\) की घात ऋणात्मक हैNo, because \(x^{-1}\) has a negative power

Explanation

Simple Explanation

\(x^{-1}\) में चर की घात ऋणात्मक है। बहुपद में ऐसी घात स्वीकार नहीं होती। / In \(x^{-1}\), the variable has a negative power. Such a power is not accepted in a polynomial.

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Question 91/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(3x^5-2x^4+x^2-1\) में अग्रणी पद कौन सा है?

What is the leading term in \(3x^5-2x^4+x^2-1\)?

Explanation opens after your attempt
Correct Answer

A. \(3x^5\)

Explanation

Simple Explanation

अग्रणी पद सबसे बड़ी घात वाला पद होता है। यहां सबसे बड़ी घात (5) है। / The leading term is the term with the highest power. Here the highest power is (5).

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Question 92/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(-9x^6+x-8\) का अग्रणी गुणांक क्या है?

What is the leading coefficient of \(-9x^6+x-8\)?

Explanation opens after your attempt
Correct Answer

A. (-9)

Explanation

Simple Explanation

अग्रणी पद \(-9x^6\) है। इसलिए अग्रणी गुणांक (-9) है। / The leading term is \(-9x^6\). Therefore the leading coefficient is (-9).

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Question 93/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

कौन सा व्यंजक (x) में द्विपदी बहुपद है?

Which expression is a binomial polynomial in (x)?

Explanation opens after your attempt
Correct Answer

A. \(x^4-16\)

Explanation

Simple Explanation

\(x^4-16\) में दो पद हैं और घातें मान्य हैं। इसलिए यह द्विपदी बहुपद है। / \(x^4-16\) has two terms and valid powers. Therefore it is a binomial polynomial.

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Question 94/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

कौन सा व्यंजक (x) में त्रिपदी बहुपद है?

Which expression is a trinomial polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. \(2x^2-3x+9\)

Explanation

Simple Explanation

\(2x^2-3x+9\) में तीन पद हैं और (x) की सभी घातें मान्य हैं। इसलिए यह त्रिपदी बहुपद है। / \(2x^2-3x+9\) has three terms and all powers of (x) are valid. Therefore it is a trinomial polynomial.

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Question 95/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

क्या \(\pi x^2-5x+1\) (x) में बहुपद है?

Is \(\pi x^2-5x+1\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. हां, क्योंकि \(\pi\) वास्तविक संख्या है और घातें मान्य हैंYes, because \(\pi\) is a real number and the powers are valid

Explanation

Simple Explanation

बहुपद में गुणांक वास्तविक संख्या हो सकते हैं। यहां (x) की घातें (2), (1), और (0) हैं। / Coefficients in a polynomial can be real numbers. Here the powers of (x) are (2), (1), and (0).

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Question 96/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(x^2+\frac{1}{\sqrt{x}}\) बहुपद क्यों नहीं है?

Why is \(x^2+\frac{1}{\sqrt{x}}\) not a polynomial?

Explanation opens after your attempt
Correct Answer

B. क्योंकि \(\frac{1}{\sqrt{x}}\) में चर की घात \(-\frac{1}{2}\) हैBecause \(\frac{1}{\sqrt{x}}\) has variable power \(-\frac{1}{2}\)

Explanation

Simple Explanation

\(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\) होता है। ऋणात्मक और भिन्न घात बहुपद में मान्य नहीं होती। / \(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\). Negative and fractional powers are not valid in a polynomial.

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Question 97/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(8x^3+0x^2-6\) का सरल रूप क्या है?

What is the simplified form of \(8x^3+0x^2-6\)?

Explanation opens after your attempt
Correct Answer

A. \(8x^3-6\)

Explanation

Simple Explanation

\(0x^2=0\), इसलिए यह पद हट जाता है। सरल रूप \(8x^3-6\) है। / \(0x^2=0\), so this term disappears. The simplified form is \(8x^3-6\).

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Question 98/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

बहुपद \(2x^4-3x+5\) में \(x^2\) का गुणांक क्या है?

What is the coefficient of \(x^2\) in \(2x^4-3x+5\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Explanation

Simple Explanation

इस बहुपद में \(x^2\) पद मौजूद नहीं है। इसलिए \(x^2\) का गुणांक (0) माना जाता है। / The \(x^2\) term is not present in this polynomial. So the coefficient of \(x^2\) is taken as (0).

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Question 99/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

कौन सा व्यंजक मानक रूप में लिखा गया बहुपद है?

Which expression is a polynomial written in standard form?

Explanation opens after your attempt
Correct Answer

B. \(x^4-3x^2+2x-7\)

Explanation

Simple Explanation

मानक रूप में पद घटती घातों में लिखे जाते हैं। \(x^4-3x^2+2x-7\) में घातें घटते क्रम में हैं। / In standard form, terms are written in descending powers. In \(x^4-3x^2+2x-7\), the powers are in descending order.

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Question 100/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 29

व्यंजक \(x^2+\frac{x}{3}-4\) बहुपद है या नहीं?

Is \(x^2+\frac{x}{3}-4\) a polynomial or not?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि \(\frac{x}{3}\) में (x) की घात (1) हैYes, because in \(\frac{x}{3}\), the power of (x) is (1)

Explanation

Simple Explanation

\(\frac{x}{3}\) का गुणांक \(\frac{1}{3}\) है और घात (1) है। इसलिए यह बहुपद है। / The coefficient of \(\frac{x}{3}\) is \(\frac{1}{3}\), and the power is (1). Therefore it is a polynomial.

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Question 101/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(6x^5-2x^3+x-8\) की डिग्री क्या है?

What is the degree of the polynomial \(6x^5-2x^3+x-8\)?

Explanation opens after your attempt
Correct Answer

C. (5)

Explanation

Simple Explanation

सबसे बड़ी घात (5) है। इसलिए बहुपद की डिग्री (5) है। / The highest power is (5). Therefore the degree of the polynomial is (5).

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Question 102/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक (8x-11) किस प्रकार का बहुपद है?

What type of polynomial is (8x-11)?

Explanation opens after your attempt
Correct Answer

A. रेखीय बहुपदLinear polynomial

Explanation

Simple Explanation

इसकी सबसे बड़ी घात (1) है। डिग्री (1) वाला बहुपद रेखीय बहुपद कहलाता है। / Its highest power is (1). A polynomial of degree (1) is called a linear polynomial.

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Question 103/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(7x^2+4x-9\) किस प्रकार का बहुपद है?

What type of polynomial is \(7x^2+4x-9\)?

Explanation opens after your attempt
Correct Answer

B. द्विघात बहुपदQuadratic polynomial

Explanation

Simple Explanation

सबसे बड़ी घात (2) है। डिग्री (2) वाला बहुपद द्विघात बहुपद होता है। / The highest power is (2). A polynomial of degree (2) is a quadratic polynomial.

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Question 104/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(3x^3-5x+2\) किस प्रकार का बहुपद है?

What type of polynomial is \(3x^3-5x+2\)?

Explanation opens after your attempt
Correct Answer

C. त्रिघात बहुपदCubic polynomial

Explanation

Simple Explanation

इसमें सबसे बड़ी घात (3) है। इसलिए यह त्रिघात बहुपद है। / Its highest power is (3). Therefore it is a cubic polynomial.

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Question 105/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक (21) को किस रूप में माना जाएगा?

How will the expression (21) be considered?

Explanation opens after your attempt
Correct Answer

D. नियतांक बहुपदConstant polynomial

Explanation

Simple Explanation

(21) में कोई चर नहीं है। इसलिए यह नियतांक बहुपद है। / (21) has no variable. Therefore it is a constant polynomial.

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Question 106/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(x^{\frac{7}{3}}+2\) बहुपद क्यों नहीं है?

Why is \(x^{\frac{7}{3}}+2\) not a polynomial?

Explanation opens after your attempt
Correct Answer

B. क्योंकि चर की घात भिन्न हैBecause the variable has a fractional power

Explanation

Simple Explanation

घात \(\frac{7}{3}\) भिन्न है। बहुपद में चर की घात पूर्ण संख्या होनी चाहिए। / The power \(\frac{7}{3}\) is fractional. In a polynomial, the variable power must be a whole number.

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Question 107/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(x^{-5}+9x\) बहुपद क्यों नहीं है?

Why is \(x^{-5}+9x\) not a polynomial?

Explanation opens after your attempt
Correct Answer

A. क्योंकि \(x^{-5}\) की घात ऋणात्मक हैBecause \(x^{-5}\) has a negative power

Explanation

Simple Explanation

बहुपद में चर की घात ऋणात्मक नहीं हो सकती। यहां (-5) ऋणात्मक घात है। / A variable in a polynomial cannot have a negative power. Here (-5) is a negative power.

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Question 108/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(2x^7-3x^4+x^2-6\) की डिग्री क्या है?

What is the degree of \(2x^7-3x^4+x^2-6\)?

Explanation opens after your attempt
Correct Answer

D. (7)

Explanation

Simple Explanation

सबसे बड़ी घात (7) है। इसलिए बहुपद की डिग्री (7) है। / The highest power is (7). Therefore the degree of the polynomial is (7).

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Question 109/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(5x^4-3x^2+x-12\) में कितने पद हैं?

How many terms are there in \(5x^4-3x^2+x-12\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

पद \(5x^4\), \(-3x^2\), (x), और (-12) हैं। इसलिए कुल (4) पद हैं। / The terms are \(5x^4\), \(-3x^2\), (x), and (-12). So there are (4) terms.

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Question 110/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(9x^5+x^3-2\) में सबसे बड़ी घात किस पद में है?

In \(9x^5+x^3-2\), which term has the highest power?

Explanation opens after your attempt
Correct Answer

A. \(9x^5\)

Explanation

Simple Explanation

सबसे बड़ी घात (5) है। यह \(9x^5\) पद में है। / The highest power is (5). It is in the term \(9x^5\).

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Question 111/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(3x^2-\sqrt{7}x+5\) क्या है?

What is the expression \(3x^2-\sqrt{7}x+5\)?

Explanation opens after your attempt
Correct Answer

A. बहुपदPolynomial

Explanation

Simple Explanation

\(\sqrt{7}\) वास्तविक गुणांक है और (x) की घात (1) है। इसलिए यह बहुपद है। / \(\sqrt{7}\) is a real coefficient and the power of (x) is (1). Therefore it is a polynomial.

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Question 112/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(2x+\sqrt{x}\) क्या है?

What is the expression \(2x+\sqrt{x}\)?

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Correct Answer

C. बहुपद नहींNot a polynomial

Explanation

Simple Explanation

\(\sqrt{x}=x^{\frac{1}{2}}\) होता है। भिन्न घात होने के कारण यह बहुपद नहीं है। / \(\sqrt{x}=x^{\frac{1}{2}}\). Due to the fractional power, it is not a polynomial.

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Question 113/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(14x^2\) में नियतांक पद क्या है?

What is the constant term in the polynomial \(14x^2\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Explanation

Simple Explanation

इस बहुपद में बिना चर वाला पद नहीं है। इसलिए नियतांक पद (0) माना जाता है। / This polynomial has no term without a variable. So the constant term is taken as (0).

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Question 114/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(x^6+x^2+1\) में \(x^4\) का गुणांक क्या है?

What is the coefficient of \(x^4\) in \(x^6+x^2+1\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Explanation

Simple Explanation

इस बहुपद में \(x^4\) पद नहीं है। इसलिए \(x^4\) का गुणांक (0) है। / The \(x^4\) term is not present in this polynomial. So the coefficient of \(x^4\) is (0).

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Question 115/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

क्या \(3x^0+5x\) बहुपद है?

Is \(3x^0+5x\) a polynomial?

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Correct Answer

A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) हैYes, because \(x^0=1\) and the power of (x) is (1)

Explanation

Simple Explanation

\(x^0\) की घात (0) है, जो बहुपद में मान्य है। इसलिए यह बहुपद है। / The power in \(x^0\) is (0), which is valid in a polynomial. Therefore it is a polynomial.

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Question 116/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

क्या \(\frac{5x}{7}-3\) (x) में बहुपद है?

Is \(\frac{5x}{7}-3\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. हां, क्योंकि (x) की घात (1) हैYes, because the power of (x) is (1)

Explanation

Simple Explanation

\(\frac{5x}{7}\) में गुणांक \(\frac{5}{7}\) है और (x) की घात (1) है। भिन्न गुणांक बहुपद में मान्य है। / In \(\frac{5x}{7}\), the coefficient is \(\frac{5}{7}\) and the power of (x) is (1). A fractional coefficient is valid in a polynomial.

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Question 117/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

क्या \(-\frac{4}{9}x^4+2x-1\) बहुपद है?

Is \(-\frac{4}{9}x^4+2x-1\) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि गुणांक वास्तविक हो सकते हैं और घातें मान्य हैंYes, because coefficients can be real and powers are valid

Explanation

Simple Explanation

गुणांक ऋणात्मक या भिन्न हो सकते हैं। यहां चर की घातें (4), (1), और (0) हैं, इसलिए यह बहुपद है। / Coefficients can be negative or fractional. Here the variable powers are (4), (1), and (0), so it is a polynomial.

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Question 118/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

किस व्यंजक में चर की घात \(\frac{5}{6}\) होने से वह बहुपद नहीं है?

Which expression is not a polynomial because the variable has power \(\frac{5}{6}\)?

Explanation opens after your attempt
Correct Answer

B. \(x^{\frac{5}{6}}+4\)

Explanation

Simple Explanation

\(\frac{5}{6}\) भिन्न घात है। बहुपद में चर की घात पूर्ण संख्या होनी चाहिए। / \(\frac{5}{6}\) is a fractional power. In a polynomial, the variable power must be a whole number.

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Question 119/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(8x^2-9x+16\) की डिग्री क्या है?

What is the degree of \(8x^2-9x+16\)?

Explanation opens after your attempt
Correct Answer

C. (2)

Explanation

Simple Explanation

सबसे बड़ी घात (2) है। इसलिए इस बहुपद की डिग्री (2) है। / The highest power is (2). Therefore the degree of this polynomial is (2).

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Question 120/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद (17x-5) की डिग्री क्या है?

What is the degree of (17x-5)?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

सबसे बड़ी घात (1) है। इसलिए (17x-5) की डिग्री (1) है। / The highest power is (1). Therefore the degree of (17x-5) is (1).

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Question 121/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

अशून्य नियतांक बहुपद (-31) की डिग्री क्या है?

What is the degree of the non-zero constant polynomial (-31)?

Explanation opens after your attempt
Correct Answer

A. (0)

Explanation

Simple Explanation

अशून्य नियतांक बहुपद की डिग्री (0) होती है। (-31) को \(-31x^0\) माना जा सकता है। / A non-zero constant polynomial has degree (0). (-31) can be considered as \(-31x^0\).

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Question 122/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

शून्य बहुपद और अशून्य नियतांक बहुपद में सही अंतर क्या है?

What is the correct difference between the zero polynomial and a non-zero constant polynomial?

Explanation opens after your attempt
Correct Answer

C. शून्य बहुपद की डिग्री परिभाषित नहीं होती और अशून्य नियतांक की डिग्री (0) होती हैThe zero polynomial degree is not defined and a non-zero constant has degree (0)

Explanation

Simple Explanation

शून्य बहुपद की डिग्री परिभाषित नहीं होती। अशून्य नियतांक बहुपद की डिग्री (0) होती है। / The degree of the zero polynomial is not defined. The degree of a non-zero constant polynomial is (0).

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Question 123/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(-5x^6+3x^4-x+9\) में अग्रणी पद कौन सा है?

What is the leading term of \(-5x^6+3x^4-x+9\)?

Explanation opens after your attempt
Correct Answer

A. \(-5x^6\)

Explanation

Simple Explanation

सबसे बड़ी घात वाला पद अग्रणी पद होता है। यहां सबसे बड़ी घात (6) है। / The term with the highest power is the leading term. Here the highest power is (6).

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Question 124/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(-11x^4+6x^2-3\) का अग्रणी गुणांक क्या है?

What is the leading coefficient of \(-11x^4+6x^2-3\)?

Explanation opens after your attempt
Correct Answer

A. (-11)

Explanation

Simple Explanation

अग्रणी पद \(-11x^4\) है। इसलिए अग्रणी गुणांक (-11) है। / The leading term is \(-11x^4\). Therefore the leading coefficient is (-11).

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Question 125/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(6x^3+\frac{4}{x}\) बहुपद है या नहीं?

Is \(6x^3+\frac{4}{x}\) a polynomial or not?

Explanation opens after your attempt
Correct Answer

B. नहीं, क्योंकि \(\frac{4}{x}\) में चर हर में हैNo, because in \(\frac{4}{x}\) the variable is in the denominator

Explanation

Simple Explanation

\(\frac{4}{x}\) में (x) की घात (-1) है। इसलिए यह व्यंजक बहुपद नहीं है। / In \(\frac{4}{x}\), the power of (x) is (-1). Therefore this expression is not a polynomial.

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Question 126/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

कौन सा एकपदी है लेकिन (x) में बहुपद नहीं है?

Which is a monomial but not a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

A. \(\frac{7}{x^2}\)

Explanation

Simple Explanation

\(\frac{7}{x^2}=7x^{-2}\) है, इसलिए घात ऋणात्मक है। एक पद होना बहुपद होने के लिए पर्याप्त नहीं है। / \(\frac{7}{x^2}=7x^{-2}\), so the power is negative. Having one term is not enough to be a polynomial.

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Question 127/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(4x^3+0x^2+5\) का सरल रूप क्या है?

What is the simplified form of \(4x^3+0x^2+5\)?

Explanation opens after your attempt
Correct Answer

A. \(4x^3+5\)

Explanation

Simple Explanation

\(0x^2=0\), इसलिए वह पद हट जाता है। सरल रूप \(4x^3+5\) है। / \(0x^2=0\), so that term disappears. The simplified form is \(4x^3+5\).

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Question 128/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

किस बहुपद में \(x^5\) का गुणांक (0) है?

In which polynomial is the coefficient of \(x^5\) equal to (0)?

Explanation opens after your attempt
Correct Answer

B. \(3x^2+2x-4\)

Explanation

Simple Explanation

\(3x^2+2x-4\) में \(x^5\) पद नहीं है। इसलिए \(x^5\) का गुणांक (0) माना जाता है। / In \(3x^2+2x-4\), the \(x^5\) term is absent. So the coefficient of \(x^5\) is taken as (0).

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Question 129/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(7x^2+x^{-4}+3\) बहुपद क्यों नहीं है?

Why is \(7x^2+x^{-4}+3\) not a polynomial?

Explanation opens after your attempt
Correct Answer

C. क्योंकि इसमें \(x^{-4}\) हैBecause it has \(x^{-4}\)

Explanation

Simple Explanation

\(x^{-4}\) में चर की घात ऋणात्मक है। बहुपद में ऋणात्मक घात स्वीकार नहीं होती। / In \(x^{-4}\), the power of the variable is negative. Negative powers are not accepted in a polynomial.

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Question 130/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

क्या \(6x^4-3x^2+x-10\) एक बहुपद है?

Is \(6x^4-3x^2+x-10\) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि सभी घातें अऋणात्मक पूर्णांक हैंYes, because all powers are non-negative integers

Explanation

Simple Explanation

घातें (4), (2), (1), और (0) हैं। ये सभी बहुपद की परिभाषा के अनुसार मान्य हैं। / The powers are (4), (2), (1), and (0). All are valid according to the definition of a polynomial.

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Question 131/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(5x^2-8x+12\) में (x) का गुणांक क्या है?

What is the coefficient of (x) in \(5x^2-8x+12\)?

Explanation opens after your attempt
Correct Answer

B. (-8)

Explanation

Simple Explanation

(x) वाला पद (-8x) है। इसलिए (x) का गुणांक (-8) है। / The term containing (x) is (-8x). Therefore the coefficient of (x) is (-8).

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Question 132/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(3x^8-4x^5+2x^2-1\) की डिग्री क्या है?

What is the degree of \(3x^8-4x^5+2x^2-1\)?

Explanation opens after your attempt
Correct Answer

D. (8)

Explanation

Simple Explanation

सबसे बड़ी घात (8) है। इसलिए बहुपद की डिग्री (8) है। / The highest power is (8). Therefore the degree of the polynomial is (8).

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Question 133/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(0.5x^2+3x-1\) (x) में बहुपद है या नहीं?

Is \(0.5x^2+3x-1\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि दशमलव गुणांक भी वास्तविक संख्या हैYes, because a decimal coefficient is also a real number

Explanation

Simple Explanation

बहुपद में गुणांक वास्तविक संख्या हो सकते हैं। यहां (x) की घातें (2), (1), और (0) हैं। / Coefficients in a polynomial can be real numbers. Here the powers of (x) are (2), (1), and (0).

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Question 134/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(\frac{x+1}{x}\) बहुपद क्यों नहीं है?

Why is \(\frac{x+1}{x}\) not a polynomial?

Explanation opens after your attempt
Correct Answer

B. क्योंकि सरल करने पर \(\frac{1}{x}\) वाला पद आता हैBecause after simplifying, a \(\frac{1}{x}\) term appears

Explanation

Simple Explanation

\(\frac{x+1}{x}=1+\frac{1}{x}\), जिसमें \(x^{-1}\) आता है। ऋणात्मक घात बहुपद में मान्य नहीं होती। / \(\frac{x+1}{x}=1+\frac{1}{x}\), which contains \(x^{-1}\). Negative powers are not valid in a polynomial.

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Question 135/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(2x^3+0x^2+0x+9\) की डिग्री क्या है?

What is the degree of \(2x^3+0x^2+0x+9\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

शून्य गुणांक वाले पद डिग्री नहीं बदलते। सबसे बड़ी अशून्य घात (3) है। / Terms with zero coefficient do not change the degree. The highest non-zero power is (3).

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Question 136/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(x^2+\sqrt[3]{x}\) बहुपद क्यों नहीं है?

Why is \(x^2+\sqrt[3]{x}\) not a polynomial?

Explanation opens after your attempt
Correct Answer

A. क्योंकि \(\sqrt[3]{x}=x^{\frac{1}{3}}\) हैBecause \(\sqrt[3]{x}=x^{\frac{1}{3}}\)

Explanation

Simple Explanation

\(\sqrt[3]{x}\) की घात \(\frac{1}{3}\) है। भिन्न घात होने पर व्यंजक बहुपद नहीं होता। / The power of \(\sqrt[3]{x}\) is \(\frac{1}{3}\). An expression with a fractional power is not a polynomial.

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Question 137/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

कौन सा व्यंजक (x) में बहुपद है?

Which expression is a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

C. \(3x^4+\frac{x}{5}-6\)

Explanation

Simple Explanation

\(3x^4+\frac{x}{5}-6\) में (x) की घातें (4), (1), और (0) हैं। भिन्न गुणांक मान्य होता है। / In \(3x^4+\frac{x}{5}-6\), the powers of (x) are (4), (1), and (0). A fractional coefficient is valid.

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Question 138/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(4x^2-7\) में (x) का गुणांक क्या है?

What is the coefficient of (x) in \(4x^2-7\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Explanation

Simple Explanation

इस बहुपद में (x) वाला पद मौजूद नहीं है। इसलिए (x) का गुणांक (0) माना जाता है। / The term containing (x) is absent in this polynomial. So the coefficient of (x) is taken as (0).

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Question 139/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

किस विकल्प में अशून्य नियतांक बहुपद दिया गया है?

Which option gives a non-zero constant polynomial?

Explanation opens after your attempt
Correct Answer

C. \(-\frac{5}{2}\)

Explanation

Simple Explanation

\(-\frac{5}{2}\) में कोई चर नहीं है और यह शून्य नहीं है। इसलिए यह अशून्य नियतांक बहुपद है। / \(-\frac{5}{2}\) has no variable and is not zero. Therefore it is a non-zero constant polynomial.

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Question 140/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(9-2x+5x^4\) को मानक रूप में कैसे लिखेंगे?

How will \(9-2x+5x^4\) be written in standard form?

Explanation opens after your attempt
Correct Answer

B. \(5x^4-2x+9\)

Explanation

Simple Explanation

मानक रूप में पद घटती घातों में लिखे जाते हैं। इसलिए \(5x^4-2x+9\) सही है। / In standard form, terms are written in descending powers. Therefore \(5x^4-2x+9\) is correct.

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Question 141/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक (\(\sqrt{3}\)x-3-\pi x+2) के बारे में सही कथन कौन सा है?

Which statement is correct about (\(\sqrt{3}\)x-3-\pi x+2)?

Explanation opens after your attempt
Correct Answer

C. यह बहुपद है क्योंकि गुणांक वास्तविक हैं और घातें मान्य हैंIt is a polynomial because coefficients are real and powers are valid

Explanation

Simple Explanation

\(\sqrt{3}\) और \(\pi\) वास्तविक गुणांक हैं। (x) की घातें (3), (1), और (0) हैं। / \(\sqrt{3}\) and \(\pi\) are real coefficients. The powers of (x) are (3), (1), and (0).

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Question 142/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(x^2+\frac{1}{x^3}\) बहुपद क्यों नहीं है?

Why is \(x^2+\frac{1}{x^3}\) not a polynomial?

Explanation opens after your attempt
Correct Answer

B. क्योंकि \(\frac{1}{x^3}=x^{-3}\) हैBecause \(\frac{1}{x^3}=x^{-3}\)

Explanation

Simple Explanation

\(\frac{1}{x^3}\) में चर की घात (-3) है। बहुपद में ऋणात्मक घात मान्य नहीं होती। / In \(\frac{1}{x^3}\), the variable has power (-3). Negative powers are not valid in a polynomial.

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Question 143/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(x^{10}+2x^5+1\) की डिग्री क्या है?

What is the degree of \(x^{10}+2x^5+1\)?

Explanation opens after your attempt
Correct Answer

B. (10)

Explanation

Simple Explanation

सबसे बड़ी घात (10) है। इसलिए बहुपद की डिग्री (10) है। / The highest power is (10). Therefore the degree of the polynomial is (10).

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Question 144/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

कौन सा व्यंजक रेखीय बहुपद नहीं है?

Which expression is not a linear polynomial?

Explanation opens after your attempt
Correct Answer

C. \(x^2+1\)

Explanation

Simple Explanation

रेखीय बहुपद की डिग्री (1) होती है। \(x^2+1\) की डिग्री (2) है। / A linear polynomial has degree (1). The degree of \(x^2+1\) is (2).

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Question 145/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

कौन सा व्यंजक बहुपद है लेकिन द्विघात बहुपद नहीं है?

Which expression is a polynomial but not a quadratic polynomial?

Explanation opens after your attempt
Correct Answer

B. \(4x^3+x-1\)

Explanation

Simple Explanation

\(4x^3+x-1\) बहुपद है और इसकी डिग्री (3) है। इसलिए यह द्विघात नहीं है। / \(4x^3+x-1\) is a polynomial and its degree is (3). Therefore it is not quadratic.

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Question 146/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

बहुपद \(2x^6-4x^2+8\) में \(x^6\) का गुणांक क्या है?

What is the coefficient of \(x^6\) in \(2x^6-4x^2+8\)?

Explanation opens after your attempt
Correct Answer

B. (2)

Explanation

Simple Explanation

\(x^6\) वाला पद \(2x^6\) है। इसलिए \(x^6\) का गुणांक (2) है। / The term containing \(x^6\) is \(2x^6\). Therefore the coefficient of \(x^6\) is (2).

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Question 147/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(x^2+x^{-1}+x^0\) बहुपद है या नहीं?

Is \(x^2+x^{-1}+x^0\) a polynomial or not?

Explanation opens after your attempt
Correct Answer

C. नहीं, क्योंकि \(x^{-1}\) की घात ऋणात्मक हैNo, because \(x^{-1}\) has a negative power

Explanation

Simple Explanation

\(x^{-1}\) में चर की घात ऋणात्मक है। एक अमान्य घात होने से पूरा व्यंजक बहुपद नहीं रहता। / In \(x^{-1}\), the variable has a negative power. One invalid power makes the whole expression not a polynomial.

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Question 148/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(\frac{x^2}{5}-\frac{3x}{2}+1\) (x) में बहुपद है या नहीं?

Is \(\frac{x^2}{5}-\frac{3x}{2}+1\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. हां, क्योंकि चर की घातें (2), (1), और (0) हैंYes, because the variable powers are (2), (1), and (0)

Explanation

Simple Explanation

भिन्न गुणांक बहुपद में मान्य होते हैं। यहां चर की सभी घातें अऋणात्मक पूर्णांक हैं। / Fractional coefficients are valid in a polynomial. Here all variable powers are non-negative integers.

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Question 149/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

किस विकल्प में (x) में बहुपद नहीं है?

Which option is not a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

D. \(\frac{x}{x+1}\)

Explanation

Simple Explanation

\(\frac{x}{x+1}\) में चर हर में है। ऐसा व्यंजक बहुपद की परिभाषा को पूरा नहीं करता। / In \(\frac{x}{x+1}\), the variable is in the denominator. Such an expression does not satisfy the definition of a polynomial.

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Question 150/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 30

व्यंजक \(2x^2+3\sqrt{x}+1\) (x) में बहुपद क्यों नहीं है?

Why is \(2x^2+3\sqrt{x}+1\) not a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. क्योंकि \(\sqrt{x}=x^{\frac{1}{2}}\) हैBecause \(\sqrt{x}=x^{\frac{1}{2}}\)

Explanation

Simple Explanation

\(\sqrt{x}\) में चर की घात \(\frac{1}{2}\) है। बहुपद में चर की घात अऋणात्मक पूर्णांक होनी चाहिए। / In \(\sqrt{x}\), the power of the variable is \(\frac{1}{2}\). In a polynomial, the variable power must be a non-negative integer.

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Question 151/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(7x^4-2x^2+x-9\) की डिग्री क्या है?

What is the degree of \(7x^4-2x^2+x-9\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

सबसे बड़ी घात (4) है। बहुपद की डिग्री सबसे बड़ी घात से मिलती है। / The highest power is (4). The degree of a polynomial is found from the highest power.

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Question 152/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक (5x+12) किस प्रकार का बहुपद है?

What type of polynomial is (5x+12)?

Explanation opens after your attempt
Correct Answer

A. रेखीय बहुपदLinear polynomial

Explanation

Simple Explanation

इसमें सबसे बड़ी घात (1) है। डिग्री (1) वाला बहुपद रेखीय बहुपद होता है। / Its highest power is (1). A polynomial of degree (1) is a linear polynomial.

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Question 153/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(3x^2-8x+6\) किस प्रकार का बहुपद है?

What type of polynomial is \(3x^2-8x+6\)?

Explanation opens after your attempt
Correct Answer

B. द्विघात बहुपदQuadratic polynomial

Explanation

Simple Explanation

इसमें सबसे बड़ी घात (2) है। डिग्री (2) वाला बहुपद द्विघात बहुपद कहलाता है। / Its highest power is (2). A polynomial of degree (2) is called a quadratic polynomial.

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Question 154/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(x^3+4x^2-10\) किस प्रकार का बहुपद है?

What type of polynomial is \(x^3+4x^2-10\)?

Explanation opens after your attempt
Correct Answer

C. त्रिघात बहुपदCubic polynomial

Explanation

Simple Explanation

सबसे बड़ी घात (3) है। इसलिए यह त्रिघात बहुपद है। / The highest power is (3). Therefore it is a cubic polynomial.

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Question 155/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक (-19) को किस प्रकार माना जाएगा?

How will the expression (-19) be considered?

Explanation opens after your attempt
Correct Answer

D. नियतांक बहुपदConstant polynomial

Explanation

Simple Explanation

(-19) में कोई चर नहीं है। इसलिए यह नियतांक बहुपद है। / (-19) has no variable. Therefore it is a constant polynomial.

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Question 156/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(x^{\frac{1}{2}}+9\) बहुपद क्यों नहीं है?

Why is \(x^{\frac{1}{2}}+9\) not a polynomial?

Explanation opens after your attempt
Correct Answer

B. क्योंकि चर की घात भिन्न हैBecause the variable has a fractional power

Explanation

Simple Explanation

\(x^{\frac{1}{2}}\) में घात भिन्न है। बहुपद में चर की घात अऋणात्मक पूर्णांक होनी चाहिए। / In \(x^{\frac{1}{2}}\), the power is fractional. In a polynomial, the variable power must be a non-negative integer.

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Question 157/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(x^{-4}+2x\) बहुपद क्यों नहीं है?

Why is \(x^{-4}+2x\) not a polynomial?

Explanation opens after your attempt
Correct Answer

A. क्योंकि \(x^{-4}\) की घात ऋणात्मक हैBecause \(x^{-4}\) has a negative power

Explanation

Simple Explanation

\(x^{-4}\) में चर की घात ऋणात्मक है। बहुपद में ऋणात्मक घात स्वीकार नहीं होती। / In \(x^{-4}\), the variable has a negative power. Negative powers are not accepted in a polynomial.

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Question 158/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(2x^6-5x^3+x-4\) की डिग्री क्या है?

What is the degree of \(2x^6-5x^3+x-4\)?

Explanation opens after your attempt
Correct Answer

D. (6)

Explanation

Simple Explanation

सबसे बड़ी घात (6) है। इसलिए इस बहुपद की डिग्री (6) है। / The highest power is (6). Therefore the degree of this polynomial is (6).

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Question 159/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(3x^4+2x^2-x+7\) में कितने पद हैं?

How many terms are there in \(3x^4+2x^2-x+7\)?

Explanation opens after your attempt
Correct Answer

C. (4)

Explanation

Simple Explanation

पद \(3x^4\), \(2x^2\), (-x), और (7) हैं। इसलिए कुल (4) पद हैं। / The terms are \(3x^4\), \(2x^2\), (-x), and (7). So there are (4) terms.

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Question 160/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(8x^5-3x^2+1\) में सबसे बड़ी घात किस पद में है?

In \(8x^5-3x^2+1\), which term has the highest power?

Explanation opens after your attempt
Correct Answer

A. \(8x^5\)

Explanation

Simple Explanation

सबसे बड़ी घात (5) है। यह \(8x^5\) पद में है। / The highest power is (5). It is in the term \(8x^5\).

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Question 161/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(2x^2+\sqrt{7}x-3\) क्या है?

What is the expression \(2x^2+\sqrt{7}x-3\)?

Explanation opens after your attempt
Correct Answer

A. बहुपदPolynomial

Explanation

Simple Explanation

\(\sqrt{7}\) वास्तविक गुणांक है और (x) की घात (1) है। इसलिए यह बहुपद है। / \(\sqrt{7}\) is a real coefficient and the power of (x) is (1). Therefore it is a polynomial.

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Question 162/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(4x+\sqrt{x}\) क्या है?

What is the expression \(4x+\sqrt{x}\)?

Explanation opens after your attempt
Correct Answer

C. बहुपद नहींNot a polynomial

Explanation

Simple Explanation

\(\sqrt{x}=x^{\frac{1}{2}}\) होता है। भिन्न घात के कारण यह बहुपद नहीं है। / \(\sqrt{x}=x^{\frac{1}{2}}\). Due to the fractional power, it is not a polynomial.

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Question 163/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(11x^3\) में नियतांक पद क्या है?

What is the constant term in the polynomial \(11x^3\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Explanation

Simple Explanation

इस बहुपद में बिना चर वाला पद नहीं है। इसलिए नियतांक पद (0) माना जाता है। / This polynomial has no term without a variable. So the constant term is taken as (0).

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Question 164/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(x^7+x^4+x\) में \(x^6\) का गुणांक क्या है?

What is the coefficient of \(x^6\) in \(x^7+x^4+x\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Explanation

Simple Explanation

इस बहुपद में \(x^6\) पद नहीं है। इसलिए \(x^6\) का गुणांक (0) है। / The \(x^6\) term is not present in this polynomial. So the coefficient of \(x^6\) is (0).

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Question 165/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

क्या \(2x^0-3x\) बहुपद है?

Is \(2x^0-3x\) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) हैYes, because \(x^0=1\) and the power of (x) is (1)

Explanation

Simple Explanation

\(x^0\) की घात (0) है जो बहुपद में मान्य है। इसलिए यह बहुपद है। / The power in \(x^0\) is (0), which is valid in a polynomial. Therefore it is a polynomial.

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Question 166/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

क्या \(\frac{7x}{3}+4\) (x) में बहुपद है?

Is \(\frac{7x}{3}+4\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. हां, क्योंकि (x) की घात (1) हैYes, because the power of (x) is (1)

Explanation

Simple Explanation

\(\frac{7x}{3}\) में (x) की घात (1) है और गुणांक \(\frac{7}{3}\) है। भिन्न गुणांक मान्य है। / In \(\frac{7x}{3}\), the power of (x) is (1) and the coefficient is \(\frac{7}{3}\). A fractional coefficient is valid.

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Question 167/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

क्या \(-\frac{5}{6}x^2+x-8\) बहुपद है?

Is \(-\frac{5}{6}x^2+x-8\) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि गुणांक वास्तविक हैं और घातें मान्य हैंYes, because coefficients are real and powers are valid

Explanation

Simple Explanation

गुणांक ऋणात्मक या भिन्न हो सकते हैं। यहां (x) की घातें (2), (1), और (0) हैं। / Coefficients can be negative or fractional. Here the powers of (x) are (2), (1), and (0).

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Question 168/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

किस व्यंजक में चर की घात \(\frac{3}{4}\) होने से वह बहुपद नहीं है?

Which expression is not a polynomial because the variable has power \(\frac{3}{4}\)?

Explanation opens after your attempt
Correct Answer

B. \(x^{\frac{3}{4}}+2\)

Explanation

Simple Explanation

\(\frac{3}{4}\) भिन्न घात है। बहुपद में चर की घात पूर्ण संख्या होनी चाहिए। / \(\frac{3}{4}\) is a fractional power. In a polynomial, the variable power must be a whole number.

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Question 169/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(10x^2-6x+5\) की डिग्री क्या है?

What is the degree of \(10x^2-6x+5\)?

Explanation opens after your attempt
Correct Answer

C. (2)

Explanation

Simple Explanation

सबसे बड़ी घात (2) है। इसलिए इस बहुपद की डिग्री (2) है। / The highest power is (2). Therefore the degree of this polynomial is (2).

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Question 170/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद (-9x+14) की डिग्री क्या है?

What is the degree of (-9x+14)?

Explanation opens after your attempt
Correct Answer

B. (1)

Explanation

Simple Explanation

सबसे बड़ी घात (1) है। इसलिए (-9x+14) की डिग्री (1) है। / The highest power is (1). Therefore the degree of (-9x+14) is (1).

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Question 171/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

शून्य बहुपद और अशून्य नियतांक बहुपद में डिग्री का सही अंतर क्या है?

What is the correct difference in degree between the zero polynomial and a non-zero constant polynomial?

Explanation opens after your attempt
Correct Answer

C. शून्य बहुपद की डिग्री परिभाषित नहीं होती और अशून्य नियतांक की डिग्री (0) होती हैThe zero polynomial degree is not defined and a non-zero constant has degree (0)

Explanation

Simple Explanation

शून्य बहुपद की डिग्री परिभाषित नहीं होती। अशून्य नियतांक बहुपद की डिग्री (0) होती है। / The degree of the zero polynomial is not defined. The degree of a non-zero constant polynomial is (0).

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Question 172/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(-4x^6+2x^3-x+8\) में अग्रणी पद कौन सा है?

What is the leading term of \(-4x^6+2x^3-x+8\)?

Explanation opens after your attempt
Correct Answer

A. \(-4x^6\)

Explanation

Simple Explanation

सबसे बड़ी घात वाला पद अग्रणी पद होता है। यहां सबसे बड़ी घात (6) है। / The term with the highest power is the leading term. Here the highest power is (6).

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Question 173/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(12x^4-7x+1\) का अग्रणी गुणांक क्या है?

What is the leading coefficient of \(12x^4-7x+1\)?

Explanation opens after your attempt
Correct Answer

A. (12)

Explanation

Simple Explanation

अग्रणी पद \(12x^4\) है। इसलिए अग्रणी गुणांक (12) है। / The leading term is \(12x^4\). Therefore the leading coefficient is (12).

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Question 174/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(3x^2-\frac{5}{x}\) बहुपद है या नहीं?

Is \(3x^2-\frac{5}{x}\) a polynomial or not?

Explanation opens after your attempt
Correct Answer

B. नहीं, क्योंकि \(\frac{5}{x}\) में चर हर में हैNo, because in \(\frac{5}{x}\) the variable is in the denominator

Explanation

Simple Explanation

\(\frac{5}{x}\) में (x) की घात (-1) है। इसलिए यह व्यंजक बहुपद नहीं है। / In \(\frac{5}{x}\), the power of (x) is (-1). Therefore this expression is not a polynomial.

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Question 175/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(6x^3+0x^2-5\) का सरल रूप क्या है?

What is the simplified form of \(6x^3+0x^2-5\)?

Explanation opens after your attempt
Correct Answer

A. \(6x^3-5\)

Explanation

Simple Explanation

\(0x^2=0\), इसलिए यह पद हट जाता है। सरल रूप \(6x^3-5\) है। / \(0x^2=0\), so this term disappears. The simplified form is \(6x^3-5\).

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Question 176/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

किस बहुपद में \(x^4\) का गुणांक (0) है?

In which polynomial is the coefficient of \(x^4\) equal to (0)?

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Correct Answer

B. \(3x^2+x-6\)

Explanation

Simple Explanation

\(3x^2+x-6\) में \(x^4\) पद नहीं है। इसलिए \(x^4\) का गुणांक (0) माना जाता है। / In \(3x^2+x-6\), the \(x^4\) term is absent. So the coefficient of \(x^4\) is taken as (0).

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Question 177/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(5x^3+x^{-1}+4\) बहुपद क्यों नहीं है?

Why is \(5x^3+x^{-1}+4\) not a polynomial?

Explanation opens after your attempt
Correct Answer

C. क्योंकि इसमें \(x^{-1}\) हैBecause it has \(x^{-1}\)

Explanation

Simple Explanation

\(x^{-1}\) में चर की घात ऋणात्मक है। बहुपद में ऐसी घात नहीं हो सकती। / In \(x^{-1}\), the power of the variable is negative. Such a power cannot occur in a polynomial.

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Question 178/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

क्या \(7x^4-x^2+3x-2\) एक बहुपद है?

Is \(7x^4-x^2+3x-2\) a polynomial?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि सभी घातें अऋणात्मक पूर्णांक हैंYes, because all powers are non-negative integers

Explanation

Simple Explanation

घातें (4), (2), (1), और (0) हैं। ये सभी बहुपद की परिभाषा के अनुसार मान्य हैं। / The powers are (4), (2), (1), and (0). All are valid according to the definition of a polynomial.

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Question 179/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(4x^2-9x+15\) में (x) का गुणांक क्या है?

What is the coefficient of (x) in \(4x^2-9x+15\)?

Explanation opens after your attempt
Correct Answer

B. (-9)

Explanation

Simple Explanation

(x) वाला पद (-9x) है। इसलिए (x) का गुणांक (-9) है। / The term containing (x) is (-9x). Therefore the coefficient of (x) is (-9).

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Question 180/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(4x^8-3x^6+x^2-5\) की डिग्री क्या है?

What is the degree of \(4x^8-3x^6+x^2-5\)?

Explanation opens after your attempt
Correct Answer

C. (8)

Explanation

Simple Explanation

सबसे बड़ी घात (8) है। इसलिए बहुपद की डिग्री (8) है। / The highest power is (8). Therefore the degree of the polynomial is (8).

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Question 181/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

क्या \(0.25x^2-5x+3\) (x) में बहुपद है?

Is \(0.25x^2-5x+3\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि दशमलव गुणांक वास्तविक संख्या हैYes, because a decimal coefficient is a real number

Explanation

Simple Explanation

दशमलव गुणांक वास्तविक संख्या होता है और (x) की घातें (2), (1), और (0) हैं। इसलिए यह बहुपद है। / A decimal coefficient is a real number and the powers of (x) are (2), (1), and (0). Therefore it is a polynomial.

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Question 182/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(x^2+\frac{1}{x}\) बहुपद क्यों नहीं है?

Why is \(x^2+\frac{1}{x}\) not a polynomial?

Explanation opens after your attempt
Correct Answer

B. क्योंकि \(\frac{1}{x}=x^{-1}\) हैBecause \(\frac{1}{x}=x^{-1}\)

Explanation

Simple Explanation

\(\frac{1}{x}\) में (x) की घात (-1) है। बहुपद में ऋणात्मक घात मान्य नहीं होती। / In \(\frac{1}{x}\), the power of (x) is (-1). Negative powers are not valid in a polynomial.

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Question 183/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(2x^3+0x^2+5\) की डिग्री क्या है?

What is the degree of \(2x^3+0x^2+5\)?

Explanation opens after your attempt
Correct Answer

C. (3)

Explanation

Simple Explanation

\(0x^2\) पद डिग्री नहीं बदलता। सबसे बड़ी अशून्य घात (3) है। / The term \(0x^2\) does not change the degree. The highest non-zero power is (3).

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Question 184/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(x+\sqrt[3]{x}\) बहुपद क्यों नहीं है?

Why is \(x+\sqrt[3]{x}\) not a polynomial?

Explanation opens after your attempt
Correct Answer

D. क्योंकि \(\sqrt[3]{x}=x^{\frac{1}{3}}\) हैBecause \(\sqrt[3]{x}=x^{\frac{1}{3}}\)

Explanation

Simple Explanation

\(\sqrt[3]{x}\) में चर की घात \(\frac{1}{3}\) है। भिन्न घात बहुपद में मान्य नहीं होती। / The power of \(\sqrt[3]{x}\) is \(\frac{1}{3}\). Fractional powers are not valid in a polynomial.

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Question 185/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(7x^2+11\) में (x) का गुणांक क्या है?

What is the coefficient of (x) in \(7x^2+11\)?

Explanation opens after your attempt
Correct Answer

D. (0)

Explanation

Simple Explanation

इस बहुपद में (x) वाला पद नहीं है। इसलिए (x) का गुणांक (0) माना जाता है। / The term containing (x) is absent in this polynomial. So the coefficient of (x) is taken as (0).

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Question 186/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(4-6x+2x^3\) को मानक रूप में कैसे लिखेंगे?

How will \(4-6x+2x^3\) be written in standard form?

Explanation opens after your attempt
Correct Answer

B. \(2x^3-6x+4\)

Explanation

Simple Explanation

मानक रूप में पद घटती घातों में लिखे जाते हैं। इसलिए सही रूप \(2x^3-6x+4\) है। / In standard form, terms are written in descending powers. Therefore the correct form is \(2x^3-6x+4\).

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Question 187/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(\pi x^2+\sqrt{2}x-5\) के बारे में सही कथन कौन सा है?

Which statement is correct about \(\pi x^2+\sqrt{2}x-5\)?

Explanation opens after your attempt
Correct Answer

C. यह बहुपद है क्योंकि गुणांक वास्तविक हैं और घातें मान्य हैंIt is a polynomial because coefficients are real and powers are valid

Explanation

Simple Explanation

\(\pi\) और \(\sqrt{2}\) वास्तविक गुणांक हैं। (x) की घातें (2), (1), और (0) हैं। / \(\pi\) and \(\sqrt{2}\) are real coefficients. The powers of (x) are (2), (1), and (0).

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Question 188/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(x^3+\frac{1}{x^2}\) बहुपद क्यों नहीं है?

Why is \(x^3+\frac{1}{x^2}\) not a polynomial?

Explanation opens after your attempt
Correct Answer

D. क्योंकि \(\frac{1}{x^2}=x^{-2}\) हैBecause \(\frac{1}{x^2}=x^{-2}\)

Explanation

Simple Explanation

\(\frac{1}{x^2}\) में चर की घात (-2) है। बहुपद में ऋणात्मक घात नहीं होती। / In \(\frac{1}{x^2}\), the variable has power (-2). A polynomial cannot have a negative power.

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Question 189/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(x^9+3x^4-2\) की डिग्री क्या है?

What is the degree of \(x^9+3x^4-2\)?

Explanation opens after your attempt
Correct Answer

B. (9)

Explanation

Simple Explanation

सबसे बड़ी घात (9) है। इसलिए बहुपद की डिग्री (9) है। / The highest power is (9). Therefore the degree of the polynomial is (9).

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Question 190/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(6x^5-2x^2+4\) में \(x^5\) का गुणांक क्या है?

What is the coefficient of \(x^5\) in \(6x^5-2x^2+4\)?

Explanation opens after your attempt
Correct Answer

A. (6)

Explanation

Simple Explanation

\(x^5\) वाला पद \(6x^5\) है। इसलिए \(x^5\) का गुणांक (6) है। / The term containing \(x^5\) is \(6x^5\). Therefore the coefficient of \(x^5\) is (6).

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Question 191/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(x^2+x^{-2}+x^0\) बहुपद है या नहीं?

Is \(x^2+x^{-2}+x^0\) a polynomial or not?

Explanation opens after your attempt
Correct Answer

C. नहीं, क्योंकि \(x^{-2}\) की घात ऋणात्मक हैNo, because \(x^{-2}\) has a negative power

Explanation

Simple Explanation

\(x^{-2}\) में चर की घात ऋणात्मक है। एक अमान्य घात के कारण व्यंजक बहुपद नहीं होता। / In \(x^{-2}\), the variable has a negative power. One invalid power makes the expression not a polynomial.

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Question 192/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(\frac{x^2}{4}-\frac{2x}{3}+6\) (x) में बहुपद है या नहीं?

Is \(\frac{x^2}{4}-\frac{2x}{3}+6\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. हां, क्योंकि चर की घातें (2), (1), और (0) हैंYes, because the variable powers are (2), (1), and (0)

Explanation

Simple Explanation

भिन्न गुणांक बहुपद में मान्य होते हैं। यहां सभी चर घातें अऋणात्मक पूर्णांक हैं। / Fractional coefficients are valid in a polynomial. Here all variable powers are non-negative integers.

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Question 193/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(3x^2+2\sqrt{x}+5\) (x) में बहुपद क्यों नहीं है?

Why is \(3x^2+2\sqrt{x}+5\) not a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

B. क्योंकि \(\sqrt{x}=x^{\frac{1}{2}}\) हैBecause \(\sqrt{x}=x^{\frac{1}{2}}\)

Explanation

Simple Explanation

\(\sqrt{x}\) में चर की घात \(\frac{1}{2}\) है। बहुपद में चर की घात अऋणात्मक पूर्णांक होनी चाहिए। / In \(\sqrt{x}\), the power of the variable is \(\frac{1}{2}\). In a polynomial, the variable power must be a non-negative integer.

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Question 194/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(9x^4+0x^3+2x-1\) का सरल रूप क्या है?

What is the simplified form of \(9x^4+0x^3+2x-1\)?

Explanation opens after your attempt
Correct Answer

A. \(9x^4+2x-1\)

Explanation

Simple Explanation

\(0x^3=0\), इसलिए यह पद हट जाता है। सरल रूप \(9x^4+2x-1\) है। / \(0x^3=0\), so this term disappears. The simplified form is \(9x^4+2x-1\).

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Question 195/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(2x^5-7x^2+4\) में \(x^3\) का गुणांक क्या है?

What is the coefficient of \(x^3\) in \(2x^5-7x^2+4\)?

Explanation opens after your attempt
Correct Answer

C. (0)

Explanation

Simple Explanation

इस बहुपद में \(x^3\) पद मौजूद नहीं है। इसलिए \(x^3\) का गुणांक (0) माना जाता है। / The \(x^3\) term is not present in this polynomial. So the coefficient of \(x^3\) is taken as (0).

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Question 196/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

क्या \(\sqrt{11}x^3-5x+2\) (x) में बहुपद है?

Is \(\sqrt{11}x^3-5x+2\) a polynomial in (x)?

Explanation opens after your attempt
Correct Answer

A. हां, क्योंकि \(\sqrt{11}\) वास्तविक गुणांक हैYes, because \(\sqrt{11}\) is a real coefficient

Explanation

Simple Explanation

\(\sqrt{11}\) केवल गुणांक है और (x) की घातें (3), (1), और (0) हैं। इसलिए यह बहुपद है। / \(\sqrt{11}\) is only a coefficient and the powers of (x) are (3), (1), and (0). Therefore it is a polynomial.

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Question 197/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

किस व्यंजक में चर की घात \(\frac{2}{3}\) होने से वह बहुपद नहीं है?

Which expression is not a polynomial because the variable has power \(\frac{2}{3}\)?

Explanation opens after your attempt
Correct Answer

B. \(x^{\frac{2}{3}}+5\)

Explanation

Simple Explanation

\(\frac{2}{3}\) भिन्न घात है। बहुपद में चर की घात अऋणात्मक पूर्णांक होनी चाहिए। / \(\frac{2}{3}\) is a fractional power. In a polynomial, the variable power must be a non-negative integer.

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Question 198/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

बहुपद \(5x^6-4x^4+x^2-9\) में अग्रणी पद कौन सा है?

What is the leading term in \(5x^6-4x^4+x^2-9\)?

Explanation opens after your attempt
Correct Answer

A. \(5x^6\)

Explanation

Simple Explanation

अग्रणी पद सबसे बड़ी घात वाला पद होता है। यहां सबसे बड़ी घात (6) है। / The leading term is the term with the highest power. Here the highest power is (6).

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Question 199/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

व्यंजक \(x^2+\frac{3}{x^4}\) बहुपद क्यों नहीं है?

Why is \(x^2+\frac{3}{x^4}\) not a polynomial?

Explanation opens after your attempt
Correct Answer

C. क्योंकि \(\frac{3}{x^4}=3x^{-4}\) हैBecause \(\frac{3}{x^4}=3x^{-4}\)

Explanation

Simple Explanation

\(\frac{3}{x^4}\) में चर की घात (-4) है। बहुपद में ऋणात्मक घात मान्य नहीं होती। / In \(\frac{3}{x^4}\), the variable has power (-4). Negative powers are not valid in a polynomial.

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Question 200/200 Easy Mathematics Introduction to Polynomials Definition of polynomial Class 9 Level 31

कौन सा व्यंजक (x) में डिग्री (4) का बहुपद है?

Which expression is a polynomial in (x) of degree (4)?

Explanation opens after your attempt
Correct Answer

A. \(x^4-2x+6\)

Explanation

Simple Explanation

\(x^4-2x+6\) बहुपद है और इसकी सबसे बड़ी घात (4) है। इसलिए इसकी डिग्री (4) है। / \(x^4-2x+6\) is a polynomial and its highest power is (4). Therefore its degree is (4).

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