10 Question MCQ (including Assertion)

Question 1 of 10

CBSE Board Exam 2021

If \(x-1\) is a factor of the polynomial \(p(x)=x^3+a x^2+2 b\) and \(a+b=4\), then

A \(a=5, b=-1\) B \(a=9, b=-5\) C \(a=7, b=-3\) D \(a=3, b=1\)

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Question 2 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 3 of 10

CBSE Board Exam 2024

What should be subtracted from the polynomial \(x^2-16 x+30\), so that 15 is the zero of the resulting polynomial ?

A 30 B 14 C 15 D 16

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Question 4 of 10

NCERT Exemplar

The zeroes of the quadratic polynomial \(x^2+99 x+127\) are:

A both positive B both negative C one positive and one negative D both equal

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Question 5 of 10

NCERT Exemplar

If one of the zeroes of a quadratic polynomial of the form \(x^2+a x +b\) is the negative of the other, then it

A has no linear term and the constant term is negative. B has no linear term and the constant term is positive. C can have a linear term but the constant term is negative. D can have a linear term but the constant term is positive.

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Question 6 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 7 of 10

NCERT Exemplar

If the zeroes of the quadratic polynomial \(a x^2+b x+c, a \neq 0\) are equal, then:

A c and a have opposite signs B c and b have opposite signs C c and a have the same sign D c and b have the same sign

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Question 8 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 9 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 10 of 10

CBSE Board Exam 2021

If a, are the zeros of the quadratic polynomial \(p(x)=x^2-(k+6) x+2(2 k-1)\), then the value of \(k\), if \(\alpha+\beta=\frac{1}{2} \alpha \beta\) is

A -7 B 7 C -3 D 3

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10 Question MCQ (including Assertion)