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Mathematics Polynomials in one variable MCQ Questions for Class 10
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Subject: Mathematics Chapter: Polynomials Class: 10
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Polynomials in one variable Practice Questions
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कौन-सा व्यंजक (x) में एक चर वाला बहुपद है?
Which expression is a polynomial in one variable (x)?
#polynomials
#one_variable
#identification
A \(3x^2-5x+7\)
B \(\frac{2}{x}+1\)
C \(\sqrt{x}+4\)
D (x+y)
Explanation opens after your attempt
Correct Answer
A. \(3x^2-5x+7\)
Step 1
Concept
The expression \(3x^2-5x+7\) has only (x) and non-negative integer powers. In exams, the variable power must not be negative or fractional.
Step 2
Why this answer is correct
The correct answer is A. \(3x^2-5x+7\). The expression \(3x^2-5x+7\) has only (x) and non-negative integer powers. In exams, the variable power must not be negative or fractional.
Step 3
Exam Tip
\(3x^2-5x+7\) में केवल (x) है और घातें पूर्ण संख्याएँ हैं। परीक्षा में चर की घात ऋणात्मक या भिन्न नहीं होनी चाहिए।
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बहुपद (p(x)=4x-3 -2x+9) की घात क्या है?
What is the degree of the polynomial (p(x)=4x-3 -2x+9)?
#degree
#polynomials
#one_variable
A (3)
B (2)
C (1)
D (9)
Explanation opens after your attempt
Step 1
Concept
The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.
Step 2
Why this answer is correct
The correct answer is A. (3). The highest power is (3), so the degree of the polynomial is (3). In exams, look at the highest power of the variable.
Step 3
Exam Tip
सबसे बड़ी घात (3) है इसलिए बहुपद की घात (3) है। परीक्षा में सबसे बड़ी चर घात देखें।
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बहुपद \(7x^2+5x-11\) में स्थिर पद क्या है?
What is the constant term in the polynomial \(7x^2+5x-11\)?
#constant_term
#polynomials
#basics
A (7)
B (5)
C \(-11\)
D (2)
Explanation opens after your attempt
Correct Answer
C. \(-11\)
Step 1
Concept
The constant term is the term without (x). Here the constant term is (-11).
Step 2
Why this answer is correct
The correct answer is C. \(-11\). The constant term is the term without (x). Here the constant term is (-11).
Step 3
Exam Tip
स्थिर पद वह होता है जिसमें (x) नहीं होता। यहाँ स्थिर पद (-11) है।
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बहुपद \(5x^4-3x^2+x-6\) में \(x^2\) का गुणांक क्या है?
What is the coefficient of \(x^2\) in \(5x^4-3x^2+x-6\)?
#coefficient
#polynomials
#terms
A (5)
B \(-3\)
C (1)
D \(-6\)
Explanation opens after your attempt
Step 1
Concept
The number attached to \(x^2\) is (-3). In exams, include the sign of the term in the coefficient.
Step 2
Why this answer is correct
The correct answer is B. \(-3\). The number attached to \(x^2\) is (-3). In exams, include the sign of the term in the coefficient.
Step 3
Exam Tip
\(x^2\) के साथ लगा संख्या गुणांक (-3) है। परीक्षा में पद का चिह्न भी गुणांक में शामिल करें।
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कौन-सा बहुपद द्विघात बहुपद है?
Which polynomial is a quadratic polynomial?
#quadratic_polynomial
#degree
#classification
A (2x+5)
B \(x^2-4x+1\)
C \(x^3+1\)
D (8)
Explanation opens after your attempt
Correct Answer
B. \(x^2-4x+1\)
Step 1
Concept
A quadratic polynomial has degree (2). In \(x^2-4x+1\), the highest power is (2).
Step 2
Why this answer is correct
The correct answer is B. \(x^2-4x+1\). A quadratic polynomial has degree (2). In \(x^2-4x+1\), the highest power is (2).
Step 3
Exam Tip
द्विघात बहुपद की घात (2) होती है। \(x^2-4x+1\) में सबसे बड़ी घात (2) है।
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कौन-सा व्यंजक बहुपद नहीं है?
Which expression is not a polynomial?
#not_polynomial
#negative_power
#concept
A \(x^2+3x+2\)
B (5x-1)
C \(x^{-1}+4\)
D (7)
Explanation opens after your attempt
Correct Answer
C. \(x^{-1}+4\)
Step 1
Concept
The term \(x^{-1}\) has a negative power of the variable, so it is not a polynomial. In exams, powers should be like \(0,1,2,\ldots\).
Step 2
Why this answer is correct
The correct answer is C. \(x^{-1}+4\). The term \(x^{-1}\) has a negative power of the variable, so it is not a polynomial. In exams, powers should be like \(0,1,2,\ldots\).
Step 3
Exam Tip
\(x^{-1}\) में चर की घात ऋणात्मक है इसलिए यह बहुपद नहीं है। परीक्षा में घातें \(0,1,2,\ldots\) जैसी होनी चाहिए।
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बहुपद (p(x)=2x-2 -3x+1) के लिए (p(1)) का मान क्या है?
For the polynomial (p(x)=2x-2 -3x+1), what is the value of (p(1))?
#evaluation
#polynomials
#value
A (0)
B (1)
C (2)
D \(-1\)
Explanation opens after your attempt
Step 1
Concept
(p(1)=2(1)2 -3(1)+1=0). In exams, substitute the given value for (x) carefully.
Step 2
Why this answer is correct
The correct answer is A. (0). (p(1)=2(1)2 -3(1)+1=0). In exams, substitute the given value for (x) carefully.
Step 3
Exam Tip
(p(1)=2(1)2 -3(1)+1=0)। परीक्षा में (x) की जगह दिए गए मान को सावधानी से रखें।
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बहुपद (q(x)=x-3 +2x-2 -x+4) में कुल कितने पद हैं?
How many terms are there in (q(x)=x-3 +2x-2 -x+4)?
#terms
#polynomials
#counting
A (2)
B (3)
C (4)
D (5)
Explanation opens after your attempt
Step 1
Concept
It has four terms \(x^3\), \(2x^2\), (-x), and (4). In exams, identify terms separated by (+) or (-).
Step 2
Why this answer is correct
The correct answer is C. (4). It has four terms \(x^3\), \(2x^2\), (-x), and (4). In exams, identify terms separated by (+) or (-).
Step 3
Exam Tip
इसमें \(x^3\), \(2x^2\), (-x) और (4) चार पद हैं। परीक्षा में पदों को (+) या (-) से अलग पहचानें।
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कौन-सा बहुपद रैखिक बहुपद है?
Which polynomial is a linear polynomial?
#linear_polynomial
#degree
#classification
A \(x^2+1\)
B (3x-8)
C \(x^3+x\)
D (6)
Explanation opens after your attempt
Step 1
Concept
A linear polynomial has degree (1). The highest power in (3x-8) is (1).
Step 2
Why this answer is correct
The correct answer is B. (3x-8). A linear polynomial has degree (1). The highest power in (3x-8) is (1).
Step 3
Exam Tip
रैखिक बहुपद की घात (1) होती है। (3x-8) की सबसे बड़ी घात (1) है।
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बहुपद \(6x^5+x^2-4\) का अग्र गुणांक क्या है?
What is the leading coefficient of \(6x^5+x^2-4\)?
#leading_coefficient
#polynomials
#degree
A (6)
B (1)
C \(-4\)
D (5)
Explanation opens after your attempt
Step 1
Concept
The term with the highest power is \(6x^5\). So the leading coefficient is (6).
Step 2
Why this answer is correct
The correct answer is A. (6). The term with the highest power is \(6x^5\). So the leading coefficient is (6).
Step 3
Exam Tip
सबसे बड़ी घात वाला पद \(6x^5\) है। इसलिए अग्र गुणांक (6) है।
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