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Students can also refer to NCERT Solutions for Class 10 Maths Chapter 2 Polynomials for better exam preparation and score more marks.

## Polynomials Class 10 MCQs Questions with Answers

Question 1.

The maximum number of zeroes that a polynomial of degree 4 can have is

(a) One

(b) Two

(c) Three

(d) Four

## Answer

Answer: (d) Four

Question 2.

The graph of the polynomial p(x) = 3x – 2 is a straight line which intersects the x-axis at exactly one point namely

(a) (\(\frac{-2}{3}\), 0)

(b) (0, \(\frac{-2}{3}\))

(c) (\(\frac{2}{3}\), 0)

(d) \(\frac{2}{3}\), \(\frac{-2}{3}\)

## Answer

Answer: (c) (\(\frac{2}{3}\), 0)

Question 3.

In fig. given below, the number of zeroes of the polynomial f(x) is

(a) 1

(b) 2

(c) 3

(d) None

## Answer

Answer: (c) 3

Question 4.

The graph of the polynomial ax² + bx + c is an upward parabola if

(a) a > 0

(b) a < 0

(b) a = 0

(d) None

## Answer

Answer: (a) a > 0

Question 5.

The graph of the polynomial ax² + bx + c is a downward parabola if

(a) a > 0

(b) a < 0

(c) a = 0

(d) a = 1

## Answer

Answer: (b) a < 0

Question 6.

A polynomial of degree 3 is called

(a) a linear polynomial

(b) a quadratic polynomial

(c) a cubic polynomial

(d) a biquadratic polynomial

## Answer

Answer: (c) a cubic polynomial

Question 7.

If α, β are the zeroes of the polynomial x² – 16, then αβ(α + β) is

(a) 0

(b) 4

(c) -4

(d) 16

## Answer

Answer: (a) 0

Question 8.

If α and \(\frac{1}{α}\) are the zeroes of the polynomial ax² + bx + c, then value of c is

(a) 0

(b) a

(c) -a

(d) 1

## Answer

Answer: (b) a

Question 9.

Zeroes of the polynomial x² – 11 are

(a) ±\(\sqrt{17}\)

(b) ±\(\sqrt{3}\)

(c) 0

(d) None

## Answer

Answer: (a) ±\(\sqrt{17}\)

Question 10.

If α, β, γ are the zeroes of the cubic polynomial ax³ + bx² + cx + d then α + β + γ is equal

(a) \(\frac{-b}{a}\)

(b) \(\frac{b}{a}\)

(c) \(\frac{c}{a}\)

(d) \(\frac{d}{a}\)

## Answer

Answer: (a) \(\frac{-b}{a}\)

Question 11.

If α, β, γ are the zeroes of the cubic polynomial ax³ + bx² + cx + d then αβ + βγ + αγ is equal to

(a) \(\frac{-b}{a}\)

(b) \(\frac{b}{a}\)

(c) \(\frac{c}{a}\)

(d) \(\frac{d}{a}\)

## Answer

Answer: (c) \(\frac{c}{a}\)

Question 12.

If the zeroes of the polynomial x³ – 3x² + x – 1 are \(\frac{s}{t}\), s and st then value of s is

(a) 1

(b) -1

(c) 2

(d) -3

## Answer

Answer: (a) 1

Question 13.

If the sum of the zeroes of the polynomial f(x) = 2x³ – 3kx² + 4x – 5 is 6, then the value of k is

(a) 2

(b) 4

(c) -2

(d) -4

## Answer

Answer: (b) 4

Question 14.

If a polynomial of degree 4 is divided by quadratic polynomial, the degree of the remainder is

(a) ≤ 1

(b) ≥ 1

(c) 2

(d) 4

## Answer

Answer: (a) ≤ 1

Question 15.

If a – b, a and a + b are zeroes of the polynomial fix) = 2x³ – 6x² + 5x – 7, then value of a is

(a) 1

(b) 2

(c) -5

(d) 7

## Answer

Answer: (a) 1

Question 16.

Dividend is equal to

(a) divisor × quotient + remainder

(b) divisior × quotient

(c) divisior × quotient – remainder

(d) divisor × quotient × remainder

## Answer

Answer: (a) divisor × quotient + remainder

Question 17.

A quadratic polynomial whose sum of the zeroes is 2 and product is 1 is given by

(a) x² – 2x + 1

(b) x² + 2x + 1

(c) x² + 2x – 1

(d) x² – 2x – 1

## Answer

Answer: (a) x² – 2x + 1

Question 18.

If one of the zeroes of a quadratic polynomial ax² + bx + c is 0, then the other zero is

(a) \(\frac{-b}{a}\)

(b) 0

(c) \(\frac{b}{a}\)

(d) \(\frac{-c}{a}\)

## Answer

Answer: (a) \(\frac{-b}{a}\)

Question 19.

The sum and the product of the zeroes of polynomial 6x² – 5 respectively are

(a) 0, \(\frac{-6}{5}\)

(b) 0, \(\frac{6}{5}\)

(c) 0, \(\frac{5}{6}\)

(d) 0, \(\frac{-5}{6}\)

## Answer

Answer: (d) 0, \(\frac{-5}{6}\)

Question 20.

What should be subtracted from x³ – 2x² + 4x + 1 to get 1?

(a) x³ – 2x² + 4x

(b) x³ – 2x² + 4 + 1

(c) -1

(d) 1

## Answer

Answer: (a) x³ – 2x² + 4x

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