\(4x^3+x+2\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(4x^3+x+2\)?
#polynomials
#missing-term
#easy
#coefficient
A (4)
B (1)
C (2)
D (0)
Explanation opens after your attempt
Step 1
Concept
There is no \(x^2\)-term, so its coefficient is (0). The coefficient of a missing term is taken as zero.
Step 2
Why this answer is correct
The correct answer is D. (0). There is no \(x^2\)-term, so its coefficient is (0). The coefficient of a missing term is taken as zero.
Step 3
Exam Tip
इस बहुपद में \(x^2\) पद नहीं है, इसलिए उसका गुणांक (0) है। अनुपस्थित पद का गुणांक शून्य माना जाता है।
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बहुपद \(2x^2-7x+1\) में अग्र गुणांक क्या है?
What is the leading coefficient of \(2x^2-7x+1\)?
#polynomials
#leading-coefficient
#easy
A (2)
B (-7)
C (1)
D (0)
Explanation opens after your attempt
Step 1
Concept
The coefficient of the highest-degree term \(2x^2\) is (2). This is called the leading coefficient.
Step 2
Why this answer is correct
The correct answer is A. (2). The coefficient of the highest-degree term \(2x^2\) is (2). This is called the leading coefficient.
Step 3
Exam Tip
सबसे बड़ी घात वाले पद \(2x^2\) का गुणांक (2) है। इसी को अग्र गुणांक कहते हैं।
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\(x^2+1\) में (x=1) रखने पर क्या मान मिलेगा?
What value is obtained by putting (x=1) in \(x^2+1\)?
#polynomials
#value
#easy
#substitution
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
\(1^2+1=2\). Even for small values, calculate in the correct order.
Step 2
Why this answer is correct
The correct answer is C. (2). \(1^2+1=2\). Even for small values, calculate in the correct order.
Step 3
Exam Tip
\(1^2+1=2\) होता है। छोटे मानों पर भी सही क्रम से गणना करें।
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बहुपद \(x^2-9\) का कौन सा मान शून्यक है?
Which value is a zero of the polynomial \(x^2-9\)?
#polynomials
#zero
#quadratic
#easy
A (2)
B (3)
C (4)
D (9)
Explanation opens after your attempt
Step 1
Concept
\(3^2-9=0\), so (3) is a zero. Substituting options is an easy method.
Step 2
Why this answer is correct
The correct answer is B. (3). \(3^2-9=0\), so (3) is a zero. Substituting options is an easy method.
Step 3
Exam Tip
\(3^2-9=0\), इसलिए (3) शून्यक है। विकल्पों को रखकर जांचना आसान तरीका है।
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(p(x)=5x+10) का शून्यक कौन सा है?
Which is the zero of (p(x)=5x+10)?
#polynomials
#zero
#linear
#easy
A (2)
B (-2)
C (5)
D (-5)
Explanation opens after your attempt
Step 1
Concept
From (5x+10=0), we get (x=-2). Do not forget the sign change.
Step 2
Why this answer is correct
The correct answer is B. (-2). From (5x+10=0), we get (x=-2). Do not forget the sign change.
Step 3
Exam Tip
(5x+10=0) से (x=-2) मिलता है। चिह्न बदलना न भूलें।
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यदि (p(x)=3x-12) है, तो इसका शून्यक क्या है?
If (p(x)=3x-12), what is its zero?
#polynomials
#zero
#linear
#easy
A (3)
B (4)
C (-4)
D (12)
Explanation opens after your attempt
Step 1
Concept
From (3x-12=0), we get (x=4). For a linear polynomial, form a simple equation.
Step 2
Why this answer is correct
The correct answer is B. (4). From (3x-12=0), we get (x=4). For a linear polynomial, form a simple equation.
Step 3
Exam Tip
(3x-12=0) से (x=4) मिलता है। रैखिक बहुपद में सीधे समीकरण बनाएं।
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(p(x)=x-2 +2x+1) में (p(0)) का मान क्या है?
For (p(x)=x-2 +2x+1), what is (p(0))?
#polynomials
#value
#easy
#zero-input
A (0)
B (1)
C (2)
D (3)
Explanation opens after your attempt
Step 1
Concept
(p(0)=02 +2\cdot0+1=1). When (x=0), only the constant term remains.
Step 2
Why this answer is correct
The correct answer is B. (1). (p(0)=02 +2\cdot0+1=1). When (x=0), only the constant term remains.
Step 3
Exam Tip
(p(0)=02 +2\cdot0+1=1) है। (x=0) रखने पर केवल नियत पद बचता है।
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निम्न में से कौन सा त्रिपदी है?
Which of the following is a trinomial?
#polynomials
#trinomial
#easy
#classification
A (4x)
B \(x^2-2x+1\)
C \(x^3+1\)
D (9)
Explanation opens after your attempt
Correct Answer
B. \(x^2-2x+1\)
Step 1
Concept
A polynomial with three terms is a trinomial. \(x^2-2x+1\) has three terms.
Step 2
Why this answer is correct
The correct answer is B. \(x^2-2x+1\). A polynomial with three terms is a trinomial. \(x^2-2x+1\) has three terms.
Step 3
Exam Tip
तीन पदों वाला बहुपद त्रिपदी कहलाता है। \(x^2-2x+1\) में तीन पद हैं।
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निम्न में से कौन सा द्विपदी है?
Which of the following is a binomial?
#polynomials
#binomial
#easy
#classification
A \(x^2+3\)
B \(x^2+x+3\)
C \(5x^3\)
D (7)
Explanation opens after your attempt
Correct Answer
A. \(x^2+3\)
Step 1
Concept
A polynomial with two terms is a binomial. \(x^2+3\) has two terms.
Step 2
Why this answer is correct
The correct answer is A. \(x^2+3\). A polynomial with two terms is a binomial. \(x^2+3\) has two terms.
Step 3
Exam Tip
दो पदों वाला बहुपद द्विपदी कहलाता है। \(x^2+3\) में दो पद हैं।
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निम्न में से कौन सा एकपदी है?
Which of the following is a monomial?
#polynomials
#monomial
#easy
#classification
A \(3x^2\)
B (x+2)
C \(x^2+x\)
D \(x^2+x+1\)
Explanation opens after your attempt
Correct Answer
A. \(3x^2\)
Step 1
Concept
A polynomial with one term is called a monomial. \(3x^2\) has only one term.
Step 2
Why this answer is correct
The correct answer is A. \(3x^2\). A polynomial with one term is called a monomial. \(3x^2\) has only one term.
Step 3
Exam Tip
एक पद वाला बहुपद एकपदी कहलाता है। \(3x^2\) में केवल एक पद है।
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\(8x^3-5x^2+4\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(8x^3-5x^2+4\)?
#polynomials
#coefficient
#easy
#sign
A (8)
B (-5)
C (4)
D (2)
Explanation opens after your attempt
Step 1
Concept
The \(x^2\)-term is \(-5x^2\), so the coefficient is (-5). Write the sign with the coefficient.
Step 2
Why this answer is correct
The correct answer is B. (-5). The \(x^2\)-term is \(-5x^2\), so the coefficient is (-5). Write the sign with the coefficient.
Step 3
Exam Tip
\(x^2\) वाला पद \(-5x^2\) है, इसलिए गुणांक (-5) है। चिह्न को गुणांक के साथ लिखें।
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\(6x^2-3x+10\) में नियत पद क्या है?
What is the constant term in \(6x^2-3x+10\)?
#polynomials
#constant-term
#easy
#coefficient
A (6)
B (-3)
C (10)
D (2)
Explanation opens after your attempt
Step 1
Concept
The term without (x) is the constant term. Here it is (10).
Step 2
Why this answer is correct
The correct answer is C. (10). The term without (x) is the constant term. Here it is (10).
Step 3
Exam Tip
जिस पद में (x) नहीं है वह नियत पद होता है। यहाँ वह (10) है।
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\(x^2+5x+6\) किस प्रकार का बहुपद है?
What type of polynomial is \(x^2+5x+6\)?
#polynomials
#quadratic
#easy
#type
A रैखिक / Linear
B द्विघात / Quadratic
C घन / Cubic
D शून्य / Zero
Explanation opens after your attempt
Correct Answer
B. द्विघात / Quadratic
Step 1
Concept
The highest power is (2), so it is a quadratic polynomial. A degree (2) polynomial is quadratic.
Step 2
Why this answer is correct
The correct answer is B. द्विघात / Quadratic. The highest power is (2), so it is a quadratic polynomial. A degree (2) polynomial is quadratic.
Step 3
Exam Tip
सबसे बड़ी घात (2) है इसलिए यह द्विघात बहुपद है। घात (2) वाले बहुपद को द्विघात कहते हैं।
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(9x+1) किस प्रकार का बहुपद है?
What type of polynomial is (9x+1)?
#polynomials
#linear
#easy
#type
A नियत / Constant
B रैखिक / Linear
C द्विघात / Quadratic
D घन / Cubic
Explanation opens after your attempt
Correct Answer
B. रैखिक / Linear
Step 1
Concept
The highest power is (1), so it is a linear polynomial. If the power of (x) is (1), identify it as linear.
Step 2
Why this answer is correct
The correct answer is B. रैखिक / Linear. The highest power is (1), so it is a linear polynomial. If the power of (x) is (1), identify it as linear.
Step 3
Exam Tip
सबसे बड़ी घात (1) है इसलिए यह रैखिक बहुपद है। (x) की घात (1) दिखे तो रैखिक पहचानें।
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\(2x^3+x^2+x+8\) किस प्रकार का बहुपद है?
What type of polynomial is \(2x^3+x^2+x+8\)?
#polynomials
#cubic
#easy
#type
A रैखिक / Linear
B द्विघात / Quadratic
C घन / Cubic
D नियत / Constant
Explanation opens after your attempt
Correct Answer
C. घन / Cubic
Step 1
Concept
The highest power is (3), so it is a cubic polynomial. Classify a polynomial by its degree.
Step 2
Why this answer is correct
The correct answer is C. घन / Cubic. The highest power is (3), so it is a cubic polynomial. Classify a polynomial by its degree.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए यह घन बहुपद है। बहुपद का प्रकार उसकी घात से तय करें।
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बहुपद \(3x^2+2x-1\) में कितने पद हैं?
How many terms are there in the polynomial \(3x^2+2x-1\)?
#polynomials
#terms
#easy
#classification
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
The terms are \(3x^2\), (2x), and (-1). Separate terms by plus or minus signs.
Step 2
Why this answer is correct
The correct answer is C. (3). The terms are \(3x^2\), (2x), and (-1). Separate terms by plus or minus signs.
Step 3
Exam Tip
यहाँ पद \(3x^2\), (2x) और (-1) हैं। पदों को जोड़ या घटाव के संकेतों से अलग करें।
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कौन सा मान (p(x)=x+4) का शून्यक है?
Which value is a zero of (p(x)=x+4)?
#polynomials
#zero
#linear
#easy
A (4)
B (-4)
C (0)
D (1)
Explanation opens after your attempt
Step 1
Concept
(p(-4)=-4+4=0), so (-4) is the zero. For (x+a), the zero is (-a).
Step 2
Why this answer is correct
The correct answer is B. (-4). (p(-4)=-4+4=0), so (-4) is the zero. For (x+a), the zero is (-a).
Step 3
Exam Tip
(p(-4)=-4+4=0), इसलिए (-4) शून्यक है। रैखिक बहुपद (x+a) का शून्यक (-a) होता है।
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यदि (p(x)=x-6) है तो (p(6)) क्या होगा?
If (p(x)=x-6), what is (p(6))?
#polynomials
#zero
#value
#easy
A (0)
B (1)
C (6)
D (12)
Explanation opens after your attempt
Step 1
Concept
(p(6)=6-6=0), so (6) is a zero of the polynomial. At a zero, the polynomial value is (0).
Step 2
Why this answer is correct
The correct answer is A. (0). (p(6)=6-6=0), so (6) is a zero of the polynomial. At a zero, the polynomial value is (0).
Step 3
Exam Tip
(p(6)=6-6=0), इसलिए (6) इस बहुपद का शून्यक है। शून्यक पर बहुपद का मान (0) आता है।
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(q(x)=x-2 -4) के लिए (q(3)) कितना होगा?
For (q(x)=x-2 -4), what is (q(3))?
#polynomials
#value
#easy
#numerical
A (3)
B (5)
C (9)
D (13)
Explanation opens after your attempt
Step 1
Concept
(q(3)=32 -4=9-4=5). Square first, then subtract.
Step 2
Why this answer is correct
The correct answer is B. (5). (q(3)=32 -4=9-4=5). Square first, then subtract.
Step 3
Exam Tip
(q(3)=32 -4=9-4=5) है। वर्ग करने के बाद घटाव करें।
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(p(x)=2x+3) में (p(2)) का मान क्या है?
If (p(x)=2x+3), what is the value of (p(2))?
#polynomials
#value
#easy
#substitution
A (5)
B (7)
C (9)
D (4)
Explanation opens after your attempt
Step 1
Concept
(p(2)=2\cdot2+3=7). Substitute the given number in place of (x).
Step 2
Why this answer is correct
The correct answer is B. (7). (p(2)=2\cdot2+3=7). Substitute the given number in place of (x).
Step 3
Exam Tip
(p(2)=2\cdot2+3=7) होता है। मान निकालते समय (x) की जगह दी गई संख्या रखें।
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बहुपद (5) की घात क्या है?
What is the degree of the polynomial (5)?
#polynomials
#constant-polynomial
#easy
#degree
A (0)
B (1)
C (5)
D परिभाषित नहीं / Not defined
Explanation opens after your attempt
Step 1
Concept
A non-zero constant polynomial has degree (0). Remember \(5=5x^0\) may be considered.
Step 2
Why this answer is correct
The correct answer is A. (0). A non-zero constant polynomial has degree (0). Remember \(5=5x^0\) may be considered.
Step 3
Exam Tip
अशून्य नियत बहुपद की घात (0) होती है। याद रखें \(5=5x^0\) माना जा सकता है।
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निम्न में से कौन सा शून्य बहुपद है?
Which of the following is the zero polynomial?
#polynomials
#zero-polynomial
#easy
#level48
A (0)
B (1)
C (x)
D \(x^0\)
Explanation opens after your attempt
Step 1
Concept
(0) is the zero polynomial because every coefficient is zero. Do not apply the usual degree rule to it.
Step 2
Why this answer is correct
The correct answer is A. (0). (0) is the zero polynomial because every coefficient is zero. Do not apply the usual degree rule to it.
Step 3
Exam Tip
(0) को शून्य बहुपद कहते हैं क्योंकि इसका हर गुणांक शून्य होता है। इसकी घात पर सामान्य घात नियम न लगाएं।
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बहुपद \(4x^2+0x+6\) में (x) का गुणांक क्या है?
What is the coefficient of (x) in \(4x^2+0x+6\)?
#polynomials
#coefficient
#easy
#level48
A (4)
B (0)
C (6)
D (1)
Explanation opens after your attempt
Step 1
Concept
The (x)-term is (0x), so its coefficient is (0). Notice hidden zero terms.
Step 2
Why this answer is correct
The correct answer is B. (0). The (x)-term is (0x), so its coefficient is (0). Notice hidden zero terms.
Step 3
Exam Tip
(x) वाला पद (0x) है इसलिए गुणांक (0) है। छिपे हुए शून्य पदों पर ध्यान दें।
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बहुपद \(7x^3-2x+9\) की घात क्या है?
What is the degree of the polynomial \(7x^3-2x+9\)?
#polynomials
#degree
#easy
#level48
A (1)
B (2)
C (3)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3), so the degree is (3). In exams identify the greatest exponent.
Step 2
Why this answer is correct
The correct answer is C. (3). The highest power is (3), so the degree is (3). In exams identify the greatest exponent.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) होगी। परीक्षा में सबसे बड़े घातांक को पहचानें।
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निम्न में से कौन सा (x) में बहुपद है?
Which of the following is a polynomial in (x)?
#polynomials
#one-variable
#easy
#definition
A \(x^2+3x+5\)
B \(\frac{1}{x}+2\)
C \(\sqrt{x}+1\)
D \(x^{-2}+4\)
Explanation opens after your attempt
Correct Answer
A. \(x^2+3x+5\)
Step 1
Concept
A polynomial has only non-negative integer powers of (x). In exams check the power of every term.
Step 2
Why this answer is correct
The correct answer is A. \(x^2+3x+5\). A polynomial has only non-negative integer powers of (x). In exams check the power of every term.
Step 3
Exam Tip
बहुपद में (x) की घात केवल पूर्णांक और अशून्य नहीं बल्कि ऋणात्मक नहीं होनी चाहिए। परीक्षा में हर पद की घात जांचें।
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कौन-सा कथन \(x^2+\sqrt{3}x+1\) के लिए सही है?
Which statement is correct for \(x^2+\sqrt{3}x+1\)?
#real_coefficients
#irrational_coefficient
#polynomials
A यह बहुपद है / It is a polynomial
B यह बहुपद नहीं है क्योंकि \(\sqrt{3}\) है / It is not a polynomial because of \(\sqrt{3}\)
C इसमें चर हर में है / The variable is in denominator
D इसकी घात परिभाषित नहीं है / Its degree is undefined
Explanation opens after your attempt
Correct Answer
A. यह बहुपद है / It is a polynomial
Step 1
Concept
\(\sqrt{3}\) is a real coefficient and the powers of (x) are whole numbers. Therefore it is a polynomial.
Step 2
Why this answer is correct
The correct answer is A. यह बहुपद है / It is a polynomial. \(\sqrt{3}\) is a real coefficient and the powers of (x) are whole numbers. Therefore it is a polynomial.
Step 3
Exam Tip
\(\sqrt{3}\) वास्तविक गुणांक है और (x) की घातें पूर्ण संख्याएँ हैं। इसलिए यह बहुपद है।
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कौन-सा व्यंजक मानक बहुपद रूप में लिखा है?
Which expression is written in standard polynomial form?
#standard_form
#arrangement
#polynomials
A \(5+2x+x^3\)
B \(x^3+2x+5\)
C \(2x+5+x^3\)
D \(5+x^3+2x\)
Explanation opens after your attempt
Correct Answer
B. \(x^3+2x+5\)
Step 1
Concept
In standard form, terms are written from higher power to lower power. The expression \(x^3+2x+5\) follows this order.
Step 2
Why this answer is correct
The correct answer is B. \(x^3+2x+5\). In standard form, terms are written from higher power to lower power. The expression \(x^3+2x+5\) follows this order.
Step 3
Exam Tip
मानक रूप में पद बड़ी घात से छोटी घात की ओर लिखे जाते हैं। \(x^3+2x+5\) इसी क्रम में है।
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बहुपद (p(x)=7x-2 -1) में कितने पद हैं?
How many terms are there in (p(x)=7x-2 -1)?
#terms
#binomial
#polynomials
A (1)
B (2)
C (3)
D (4)
Explanation opens after your attempt
Step 1
Concept
There are two terms \(7x^2\) and (-1). So it is also a binomial.
Step 2
Why this answer is correct
The correct answer is B. (2). There are two terms \(7x^2\) and (-1). So it is also a binomial.
Step 3
Exam Tip
\(7x^2\) और (-1) दो पद हैं। इसलिए यह द्विपदी भी है।
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यदि (p(x)=x-2 +ax+4) का स्थिर पद (4) है, तो स्थिर पद कौन-सा है?
If the constant term of (p(x)=x-2 +ax+4) is (4), which term is the constant term?
#constant_term
#parameter
#polynomials
A \(x^2\)
B (ax)
C (4)
D (a)
Explanation opens after your attempt
Step 1
Concept
The constant term does not contain (x). So (4) is the constant term.
Step 2
Why this answer is correct
The correct answer is C. (4). The constant term does not contain (x). So (4) is the constant term.
Step 3
Exam Tip
स्थिर पद में (x) नहीं होता। इसलिए (4) स्थिर पद है।
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यदि (p(x)=2x-2 +kx+3) में (x) का गुणांक (5) है, तो (k) का मान क्या है?
If the coefficient of (x) in (p(x)=2x-2 +kx+3) is (5), what is the value of (k)?
#coefficient
#parameter
#polynomials
A (2)
B (3)
C (5)
D (8)
Explanation opens after your attempt
Step 1
Concept
In (kx), the coefficient of (x) is (k). Therefore (k=5).
Step 2
Why this answer is correct
The correct answer is C. (5). In (kx), the coefficient of (x) is (k). Therefore (k=5).
Step 3
Exam Tip
(kx) में (x) का गुणांक (k) है। इसलिए (k=5) होगा।
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