Level 29 • 50/50 questions • 40 seconds per question.
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What is the degree of \(9x^4-2x+1\)?
C. (4)
The highest power is (4). Therefore the degree of the polynomial is (4).
The correct answer is C. (4). The highest power is (4). Therefore the degree of the polynomial is (4).
सबसे बड़ी घात (4) है। इसलिए बहुपद की डिग्री (4) है।
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What type of polynomial is (3x-10)?
A. रेखीय बहुपदLinear polynomial
Its highest power is (1). A polynomial of degree (1) is called a linear polynomial.
The correct answer is A. रेखीय बहुपद / Linear polynomial. Its highest power is (1). A polynomial of degree (1) is called a linear polynomial.
इसमें सबसे बड़ी घात (1) है। डिग्री (1) वाला बहुपद रेखीय बहुपद कहलाता है।
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What type of polynomial is \(x^2-8x+12\)?
B. द्विघात बहुपदQuadratic polynomial
Its highest power is (2). A polynomial of degree (2) is a quadratic polynomial.
The correct answer is B. द्विघात बहुपद / Quadratic polynomial. Its highest power is (2). A polynomial of degree (2) is a quadratic polynomial.
इसमें सबसे बड़ी घात (2) है। डिग्री (2) वाला बहुपद द्विघात बहुपद होता है।
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What type of polynomial is \(4x^3+x-6\)?
C. त्रिघात बहुपदCubic polynomial
The highest power is (3). Therefore it is a cubic polynomial.
The correct answer is C. त्रिघात बहुपद / Cubic polynomial. The highest power is (3). Therefore it is a cubic polynomial.
सबसे बड़ी घात (3) है। इसलिए यह त्रिघात बहुपद है।
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How is the expression (-15) considered?
D. नियतांक बहुपदConstant polynomial
(-15) has no variable. Therefore it is a constant polynomial.
The correct answer is D. नियतांक बहुपद / Constant polynomial. (-15) has no variable. Therefore it is a constant polynomial.
(-15) में कोई चर नहीं है। इसलिए यह नियतांक बहुपद है।
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Which statement is correct about the zero polynomial?
A. इसकी डिग्री परिभाषित नहीं होतीIts degree is not defined
(0) is considered the zero polynomial. Its degree is not defined.
The correct answer is A. इसकी डिग्री परिभाषित नहीं होती / Its degree is not defined. (0) is considered the zero polynomial. Its degree is not defined.
(0) को शून्य बहुपद माना जाता है। इसकी डिग्री परिभाषित नहीं होती।
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Why is \(x^{\frac{5}{2}}-1\) not a polynomial?
B. क्योंकि चर की घात भिन्न हैBecause the variable has a fractional power
The power \(\frac{5}{2}\) is fractional. Such a power is not valid in a polynomial.
The correct answer is B. क्योंकि चर की घात भिन्न है / Because the variable has a fractional power. The power \(\frac{5}{2}\) is fractional. Such a power is not valid in a polynomial.
घात \(\frac{5}{2}\) भिन्न है। बहुपद में ऐसी घात मान्य नहीं होती।
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Why is \(x^{-2}+7x\) not a polynomial?
A. क्योंकि \(x^{-2}\) की घात ऋणात्मक हैBecause \(x^{-2}\) has a negative power
A variable in a polynomial cannot have a negative power. Here (-2) is a negative power.
The correct answer is A. क्योंकि \(x^{-2}\) की घात ऋणात्मक है / Because \(x^{-2}\) has a negative power. A variable in a polynomial cannot have a negative power. Here (-2) is a negative power.
बहुपद में चर की घात ऋणात्मक नहीं हो सकती। यहां (-2) ऋणात्मक घात है।
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What is the degree of \(5x^6-4x^2+9\)?
D. (6)
The highest power is (6). Therefore the degree is (6).
The correct answer is D. (6). The highest power is (6). Therefore the degree is (6).
सबसे बड़ी घात (6) है। इसलिए डिग्री (6) है।
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How many terms are there in \(7x^3+2x^2-x+5\)?
C. (4)
The terms are \(7x^3\), \(2x^2\), (-x), and (5). So there are (4) terms.
The correct answer is C. (4). The terms are \(7x^3\), \(2x^2\), (-x), and (5). So there are (4) terms.
पद \(7x^3\), \(2x^2\), (-x), और (5) हैं। इसलिए कुल (4) पद हैं।
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In \(2x^3+x^2+4\), which term has the highest power?
A. \(2x^3\)
The highest power is (3). It is in the term \(2x^3\).
The correct answer is A. \(2x^3\). The highest power is (3). It is in the term \(2x^3\).
सबसे बड़ी घात (3) है। यह \(2x^3\) पद में है।
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What is the expression \(4x^2+\sqrt{5}x-9\)?
A. बहुपदPolynomial
\(\sqrt{5}\) is a real coefficient and the power of (x) is (1). Therefore it is a polynomial.
The correct answer is A. बहुपद / Polynomial. \(\sqrt{5}\) is a real coefficient and the power of (x) is (1). Therefore it is a polynomial.
\(\sqrt{5}\) वास्तविक गुणांक है और (x) की घात (1) है। इसलिए यह बहुपद है।
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What is the expression \(\sqrt{x}+5x^2\)?
C. बहुपद नहींNot a polynomial
\(\sqrt{x}\) can be written as \(x^{\frac{1}{2}}\). Due to the fractional power, it is not a polynomial.
The correct answer is C. बहुपद नहीं / Not a polynomial. \(\sqrt{x}\) can be written as \(x^{\frac{1}{2}}\). Due to the fractional power, it is not a polynomial.
\(\sqrt{x}\) को \(x^{\frac{1}{2}}\) लिखा जा सकता है। भिन्न घात होने से यह बहुपद नहीं है।
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What is the constant term in the polynomial \(12x^3\)?
C. (0)
This polynomial has no term without a variable. So the constant term is taken as (0).
The correct answer is C. (0). This polynomial has no term without a variable. So the constant term is taken as (0).
इस बहुपद में बिना चर वाला पद नहीं है। इसलिए नियतांक पद (0) माना जाता है।
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What is the coefficient of \(x^4\) in the polynomial \(x^5+x^3+x\)?
D. (0)
The term \(x^4\) is not present in this polynomial. So the coefficient of \(x^4\) is (0).
The correct answer is D. (0). The term \(x^4\) is not present in this polynomial. So the coefficient of \(x^4\) is (0).
इस बहुपद में \(x^4\) पद नहीं है। इसलिए \(x^4\) का गुणांक (0) है।
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A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) हैYes, because \(x^0=1\) and the power of (x) is (1)
The power in \(x^0\) is (0), which is valid. Therefore \(x^0-4x\) is a polynomial.
The correct answer is A. हां, क्योंकि \(x^0=1\) और (x) की घात (1) है / Yes, because \(x^0=1\) and the power of (x) is (1). The power in \(x^0\) is (0), which is valid. Therefore \(x^0-4x\) is a polynomial.
\(x^0\) की घात (0) है जो मान्य है। इसलिए \(x^0-4x\) बहुपद है।
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Is \(\frac{3x}{5}+2\) a polynomial in (x)?
B. हां, क्योंकि (x) की घात (1) हैYes, because the power of (x) is (1)
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.
The correct answer is B. हां, क्योंकि (x) की घात (1) है / Yes, because the power of (x) is (1). 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.
\(\frac{3x}{5}\) में (x) की घात (1) है और गुणांक \(\frac{3}{5}\) है। भिन्न गुणांक बहुपद में मान्य है।
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Is \(-\frac{2}{3}x^3+4\) a polynomial?
A. हां, क्योंकि गुणांक वास्तविक संख्या हो सकते हैंYes, because coefficients can be real numbers
Coefficients can be fractional or negative. Here the variable power (3) is valid.
The correct answer is A. हां, क्योंकि गुणांक वास्तविक संख्या हो सकते हैं / Yes, because coefficients can be real numbers. Coefficients can be fractional or negative. Here the variable power (3) is valid.
गुणांक भिन्न या ऋणात्मक हो सकते हैं। यहां चर की घात (3) मान्य है।
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Which expression is not a polynomial because the variable has power \(\frac{4}{5}\)?
B. \(x^{\frac{4}{5}}+2\)
\(\frac{4}{5}\) is a fractional power. In a polynomial, the variable power must be a whole number.
The correct answer is B. \(x^{\frac{4}{5}}+2\). \(\frac{4}{5}\) is a fractional power. In a polynomial, the variable power must be a whole number.
\(\frac{4}{5}\) भिन्न घात है। बहुपद में चर की घात पूर्ण संख्या होनी चाहिए।
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What is the degree of \(6x^2-x+11\)?
C. (2)
The highest power is (2). Therefore the degree of this polynomial is (2).
The correct answer is C. (2). The highest power is (2). Therefore the degree of this polynomial is (2).
सबसे बड़ी घात (2) है। इसलिए इस बहुपद की डिग्री (2) है।
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What is the degree of (13x+2)?
B. (1)
The highest power is (1). Therefore the degree of (13x+2) is (1).
The correct answer is B. (1). The highest power is (1). Therefore the degree of (13x+2) is (1).
सबसे बड़ी घात (1) है। इसलिए (13x+2) की डिग्री (1) है।
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What is the degree of the non-zero constant polynomial (23)?
A. (0)
A non-zero constant polynomial has degree (0). (23) can be considered as \(23x^0\).
The correct answer is A. (0). A non-zero constant polynomial has degree (0). (23) can be considered as \(23x^0\).
अशून्य नियतांक बहुपद की डिग्री (0) होती है। (23) को \(23x^0\) माना जा सकता है।
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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)
The degree of the zero polynomial is not defined. The degree of a non-zero constant polynomial is (0).
The correct answer is C. शून्य बहुपद की डिग्री परिभाषित नहीं है और अशून्य नियतांक की डिग्री (0) है / Zero polynomial degree is not defined and non-zero constant degree is (0). The degree of the zero polynomial is not defined. The degree of a non-zero constant polynomial is (0).
शून्य बहुपद की डिग्री परिभाषित नहीं होती। अशून्य नियतांक बहुपद की डिग्री (0) होती है।
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In which option are all powers valid for a polynomial?
A. \(x^5+x^2+1\)
In \(x^5+x^2+1\), the powers are (5), (2), and (0). All are valid for a polynomial.
The correct answer is A. \(x^5+x^2+1\). In \(x^5+x^2+1\), the powers are (5), (2), and (0). All are valid for a polynomial.
\(x^5+x^2+1\) में घातें (5), (2), और (0) हैं। ये सभी बहुपद के लिए मान्य हैं।
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What is the leading term of \(-3x^4+2x^2-5x+1\)?
A. \(-3x^4\)
The term with the highest power is the leading term. Here the highest power is (4).
The correct answer is A. \(-3x^4\). The term with the highest power is the leading term. Here the highest power is (4).
सबसे बड़ी घात वाला पद अग्रणी पद होता है। यहां सबसे बड़ी घात (4) है।
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What is the leading coefficient of \(-7x^3+4x-2\)?
A. (-7)
The leading term is \(-7x^3\). Therefore the leading coefficient is (-7).
The correct answer is A. (-7). The leading term is \(-7x^3\). Therefore the leading coefficient is (-7).
अग्रणी पद \(-7x^3\) है। इसलिए अग्रणी गुणांक (-7) है।
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Is \(5x^2-\frac{2}{x}\) a polynomial or not?
B. नहीं, क्योंकि \(\frac{2}{x}\) में चर हर में हैNo, because in \(\frac{2}{x}\) the variable is in the denominator
In \(\frac{2}{x}\), the power of (x) is (-1). Therefore this expression is not a polynomial.
The correct answer is B. नहीं, क्योंकि \(\frac{2}{x}\) में चर हर में है / No, because in \(\frac{2}{x}\) the variable is in the denominator. In \(\frac{2}{x}\), the power of (x) is (-1). Therefore this expression is not a polynomial.
\(\frac{2}{x}\) में (x) की घात (-1) है। इसलिए यह व्यंजक बहुपद नहीं है।
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Which is a monomial but not a polynomial?
A. \(\frac{3}{x}\)
\(\frac{3}{x}\) has one term but the power of (x) is (-1). Therefore it is not a polynomial.
The correct answer is A. \(\frac{3}{x}\). \(\frac{3}{x}\) has one term but the power of (x) is (-1). Therefore it is not a polynomial.
\(\frac{3}{x}\) एक पद है लेकिन इसमें (x) की घात (-1) है। इसलिए यह बहुपद नहीं है।
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What is the simplified form of \(3x^2+0x-7\)?
A. \(3x^2-7\)
(0x=0), so \(3x^2+0x-7=3x^2-7\). A term with zero coefficient can be removed.
The correct answer is A. \(3x^2-7\). (0x=0), so \(3x^2+0x-7=3x^2-7\). A term with zero coefficient can be removed.
(0x=0), इसलिए \(3x^2+0x-7=3x^2-7\)। शून्य गुणांक वाला पद हट सकता है।
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In which polynomial is the coefficient of \(x^3\) equal to (0)?
B. \(4x^2+x+6\)
In \(4x^2+x+6\), the \(x^3\) term is absent. So the coefficient of \(x^3\) is taken as (0).
The correct answer is B. \(4x^2+x+6\). In \(4x^2+x+6\), the \(x^3\) term is absent. So the coefficient of \(x^3\) is taken as (0).
\(4x^2+x+6\) में \(x^3\) पद नहीं है। इसलिए \(x^3\) का गुणांक (0) माना जाता है।
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Why is \(4x^3+x^{-2}+2\) not a polynomial?
C. क्योंकि इसमें \(x^{-2}\) हैBecause it has \(x^{-2}\)
In \(x^{-2}\), the power of the variable is negative. A negative power is not accepted in a polynomial.
The correct answer is C. क्योंकि इसमें \(x^{-2}\) है / Because it has \(x^{-2}\). In \(x^{-2}\), the power of the variable is negative. A negative power is not accepted in a polynomial.
\(x^{-2}\) में चर की घात ऋणात्मक है। बहुपद में ऋणात्मक घात स्वीकार नहीं होती।
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Is \(5x^3-2x^2+x-1\) a polynomial?
A. हां, क्योंकि सभी घातें अशून्य या शून्य पूर्णांक हैंYes, because all powers are non-negative integers
The powers are (3), (2), (1), and (0). All are valid according to the definition of a polynomial.
The correct answer is A. हां, क्योंकि सभी घातें अशून्य या शून्य पूर्णांक हैं / Yes, because all powers are non-negative integers. The powers are (3), (2), (1), and (0). All are valid according to the definition of a polynomial.
घातें (3), (2), (1), और (0) हैं। ये सभी बहुपद की परिभाषा के अनुसार मान्य हैं।
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What is the coefficient of (x) in \(7x^2-4x+10\)?
B. (-4)
The term containing (x) is (-4x). Therefore the coefficient of (x) is (-4).
The correct answer is B. (-4). The term containing (x) is (-4x). Therefore the coefficient of (x) is (-4).
(x) वाला पद (-4x) है। इसलिए (x) का गुणांक (-4) है।
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What is the degree of \(2x^7-5x^4+x-3\)?
D. (7)
The highest power is (7). Therefore the degree of the polynomial is (7).
The correct answer is D. (7). The highest power is (7). Therefore the degree of the polynomial is (7).
सबसे बड़ी घात (7) है। इसलिए बहुपद की डिग्री (7) है।
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What is the degree of the polynomial \(4x^8-3\)?
C. (8)
The highest power is (8). Therefore the degree of the polynomial is (8).
The correct answer is C. (8). The highest power is (8). Therefore the degree of the polynomial is (8).
सबसे बड़ी घात (8) है। इसलिए बहुपद की डिग्री (8) है।
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Is \(-\sqrt{2}x+9\) a polynomial in (x)?
A. हां, क्योंकि \(-\sqrt{2}\) वास्तविक गुणांक हैYes, because \(-\sqrt{2}\) is a real coefficient
Coefficients can be real numbers. Here the power of (x) is (1), so it is a polynomial.
The correct answer is A. हां, क्योंकि \(-\sqrt{2}\) वास्तविक गुणांक है / Yes, because \(-\sqrt{2}\) is a real coefficient. Coefficients can be real numbers. Here the power of (x) is (1), so it is a polynomial.
गुणांक वास्तविक संख्या हो सकते हैं। यहां (x) की घात (1) है, इसलिए यह बहुपद है।
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Why is \(\frac{x^2+1}{x}\) not a polynomial?
B. क्योंकि चर हर में हैBecause the variable is in the denominator
When the variable is in the denominator, a negative power may appear. Negative powers of the variable are not valid in a polynomial.
The correct answer is B. क्योंकि चर हर में है / Because the variable is in the denominator. When the variable is in the denominator, a negative power may appear. Negative powers of the variable are not valid in a polynomial.
चर हर में आने पर ऋणात्मक घात बन सकती है। बहुपद में चर की ऋणात्मक घात मान्य नहीं होती।
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In which option are all powers of (x) valid for a polynomial?
C. \(x^6+x^3+x^0\)
(6), (3), and (0) are all non-negative integers. Therefore these powers are valid for a polynomial.
The correct answer is C. \(x^6+x^3+x^0\). (6), (3), and (0) are all non-negative integers. Therefore these powers are valid for a polynomial.
(6), (3), और (0) सभी अशून्य या शून्य पूर्णांक हैं। इसलिए ये घातें बहुपद के लिए मान्य हैं।
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What is the constant term in the polynomial \(10x^2-7x+4\)?
C. (4)
A constant term has no variable. Here (4) is the constant term.
The correct answer is C. (4). A constant term has no variable. Here (4) is the constant term.
नियतांक पद में कोई चर नहीं होता। यहां (4) नियतांक पद है।
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Is \(5x^2+3x+2x^{-1}\) a polynomial or not?
C. नहीं, क्योंकि \(x^{-1}\) की घात ऋणात्मक हैNo, because \(x^{-1}\) has a negative power
In \(x^{-1}\), the variable has a negative power. Such a power is not accepted in a polynomial.
The correct answer is C. नहीं, क्योंकि \(x^{-1}\) की घात ऋणात्मक है / No, because \(x^{-1}\) has a negative power. In \(x^{-1}\), the variable has a negative power. Such a power is not accepted in a polynomial.
\(x^{-1}\) में चर की घात ऋणात्मक है। बहुपद में ऐसी घात स्वीकार नहीं होती।
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What is the leading term in \(3x^5-2x^4+x^2-1\)?
A. \(3x^5\)
The leading term is the term with the highest power. Here the highest power is (5).
The correct answer is A. \(3x^5\). The leading term is the term with the highest power. Here the highest power is (5).
अग्रणी पद सबसे बड़ी घात वाला पद होता है। यहां सबसे बड़ी घात (5) है।
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What is the leading coefficient of \(-9x^6+x-8\)?
A. (-9)
The leading term is \(-9x^6\). Therefore the leading coefficient is (-9).
The correct answer is A. (-9). The leading term is \(-9x^6\). Therefore the leading coefficient is (-9).
अग्रणी पद \(-9x^6\) है। इसलिए अग्रणी गुणांक (-9) है।
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Which expression is a binomial polynomial in (x)?
A. \(x^4-16\)
\(x^4-16\) has two terms and valid powers. Therefore it is a binomial polynomial.
The correct answer is A. \(x^4-16\). \(x^4-16\) has two terms and valid powers. Therefore it is a binomial polynomial.
\(x^4-16\) में दो पद हैं और घातें मान्य हैं। इसलिए यह द्विपदी बहुपद है।
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Which expression is a trinomial polynomial in (x)?
B. \(2x^2-3x+9\)
\(2x^2-3x+9\) has three terms and all powers of (x) are valid. Therefore it is a trinomial polynomial.
The correct answer is B. \(2x^2-3x+9\). \(2x^2-3x+9\) has three terms and all powers of (x) are valid. Therefore it is a trinomial polynomial.
\(2x^2-3x+9\) में तीन पद हैं और (x) की सभी घातें मान्य हैं। इसलिए यह त्रिपदी बहुपद है।
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Is \(\pi x^2-5x+1\) a polynomial in (x)?
B. हां, क्योंकि \(\pi\) वास्तविक संख्या है और घातें मान्य हैंYes, because \(\pi\) is a real number and the powers are valid
Coefficients in a polynomial can be real numbers. Here the powers of (x) are (2), (1), and (0).
The correct answer is B. हां, क्योंकि \(\pi\) वास्तविक संख्या है और घातें मान्य हैं / Yes, because \(\pi\) is a real number and the powers are valid. Coefficients in a polynomial can be real numbers. Here the powers of (x) are (2), (1), and (0).
बहुपद में गुणांक वास्तविक संख्या हो सकते हैं। यहां (x) की घातें (2), (1), और (0) हैं।
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Why is \(x^2+\frac{1}{\sqrt{x}}\) not a polynomial?
B. क्योंकि \(\frac{1}{\sqrt{x}}\) में चर की घात \(-\frac{1}{2}\) हैBecause \(\frac{1}{\sqrt{x}}\) has variable power \(-\frac{1}{2}\)
\(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\). Negative and fractional powers are not valid in a polynomial.
The correct answer is B. क्योंकि \(\frac{1}{\sqrt{x}}\) में चर की घात \(-\frac{1}{2}\) है / Because \(\frac{1}{\sqrt{x}}\) has variable power \(-\frac{1}{2}\). \(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\). Negative and fractional powers are not valid in a polynomial.
\(\frac{1}{\sqrt{x}}=x^{-\frac{1}{2}}\) होता है। ऋणात्मक और भिन्न घात बहुपद में मान्य नहीं होती।
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What is the simplified form of \(8x^3+0x^2-6\)?
A. \(8x^3-6\)
\(0x^2=0\), so this term disappears. The simplified form is \(8x^3-6\).
The correct answer is A. \(8x^3-6\). \(0x^2=0\), so this term disappears. The simplified form is \(8x^3-6\).
\(0x^2=0\), इसलिए यह पद हट जाता है। सरल रूप \(8x^3-6\) है।
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What is the coefficient of \(x^2\) in \(2x^4-3x+5\)?
D. (0)
The \(x^2\) term is not present in this polynomial. So the coefficient of \(x^2\) is taken as (0).
The correct answer is D. (0). The \(x^2\) term is not present in this polynomial. So the coefficient of \(x^2\) is taken as (0).
इस बहुपद में \(x^2\) पद मौजूद नहीं है। इसलिए \(x^2\) का गुणांक (0) माना जाता है।
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Which expression is a polynomial written in standard form?
B. \(x^4-3x^2+2x-7\)
In standard form, terms are written in descending powers. In \(x^4-3x^2+2x-7\), the powers are in descending order.
The correct answer is B. \(x^4-3x^2+2x-7\). In standard form, terms are written in descending powers. In \(x^4-3x^2+2x-7\), the powers are in descending order.
मानक रूप में पद घटती घातों में लिखे जाते हैं। \(x^4-3x^2+2x-7\) में घातें घटते क्रम में हैं।
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Is \(x^2+\frac{x}{3}-4\) a polynomial or not?
A. हां, क्योंकि \(\frac{x}{3}\) में (x) की घात (1) हैYes, because in \(\frac{x}{3}\), the power of (x) is (1)
The coefficient of \(\frac{x}{3}\) is \(\frac{1}{3}\), and the power is (1). Therefore it is a polynomial.
The correct answer is A. हां, क्योंकि \(\frac{x}{3}\) में (x) की घात (1) है / Yes, because in \(\frac{x}{3}\), the power of (x) is (1). The coefficient of \(\frac{x}{3}\) is \(\frac{1}{3}\), and the power is (1). Therefore it is a polynomial.
\(\frac{x}{3}\) का गुणांक \(\frac{1}{3}\) है और घात (1) है। इसलिए यह बहुपद है।
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