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Maths Polynomials Class 10 MCQ and Assertion Questions | CBSE 10 Question MCQ (including Assertion)

Question 1 of 10

NCERT Exemplar

The number of polynomials having zeroes as -2 and 5 is

A 1 B 2 C 3 D more than 3

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Question 2 of 10

NCERT Exemplar

Which of the following is not the graph of a quadratic polynomial?

A

B

C

D

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Question 3 of 10

CBSE Board Exam 2026

The sum and product of zeroes of a quadratic polynomial \(p(x)\) are \(\frac{-1}{3}\) and 2 respectively. The polynomial \(p(x)\) is :

A \(3 x^2-x+6\) B \(x^2+\frac{1}{3} x-2\) C \(3 x^2-x+2\) D \(-3 x^2-x-6\)

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Question 4 of 10

CBSE Board Exam 2021

A quadratic polynomial, the product and sum of whose zeroes are 5 and 8 respectively is

A \(k\left[x^2-8 x+5\right]\) B \(k\left[x^2+8 x+5\right]\) C \(k\left[x^2-5 x+8\right]\) D \(k\left[x^2+5 x+8\right]\)

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Question 5 of 10

CBSE Board Exam 2025

If \(\alpha\) and \(\beta\) are the zeroes of the polynomial \(p(x)=x^2-a x-b\), then the value of \((\alpha+\beta+\alpha \beta)\) is equal to :

A \(\mathrm{a}+\mathrm{b}\) B \(-a-b\) C \(a-b\) D \(-a+b\)

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Question 6 of 10

NCERT Exemplar

The zeroes of the quadratic polynomial \(x^2+k x+k, k \neq 0\),

A cannot both be positive B cannot both be negative C are always unequal D are always equal

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Question 7 of 10

NCERT Exemplar

Given that one of the zeroes of the cubic polynomial \(a x^3+b x^2+ c x+d\) is zero, the product of the other two zeroes is:

A \(-\frac{c}{a}\) B \(\frac{c}{a}\) C 0 D \(-\frac{b}{a}\)

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Question 8 of 10

CBSE Board Exam 2021

In figure, the graph of a polynomial \(\mathrm{P}(\mathrm{x})\) is shown. The number of zeroes of \(\mathrm{P}(\mathrm{x})\) is

A 1 B 2 C 3 D 4

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Question 9 of 10

NCERT Exemplar

Given that two of the zeroes of the cubic polynomial \(a x^3 +b x^2+c x+d\) are 0 , the third zero is

A \(\frac{-b}{a}\) B \(\frac{b}{a}\) C \(\frac{c}{a}\) D \(-\frac{d}{a}\)

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Question 10 of 10

CBSE Board Exam 2021

The graph of a polynomial \(\mathrm{P}(\mathrm{x})\) cuts the x -axis at 3 points and touches it at 2 other points. The number of zeroes of \(\mathrm{P}(\mathrm{x})\) is

A 1 B 2 C 3 D 5

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Maths Polynomials Class 10 MCQ and Assertion Questions

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