# MCQ Questions for Class 10 Maths Chapter 2 Polynomials with Answers

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## 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

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: (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

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: (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: (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: (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

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

Question 9.
Zeroes of the polynomial x² – 11 are
(a) ±$$\sqrt{17}$$
(b) ±$$\sqrt{3}$$
(c) 0
(d) None

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: (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: (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

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

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: (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

Question 16.
Dividend is equal to
(a) divisor × quotient + remainder
(b) divisior × quotient
(c) divisior × quotient – remainder
(d) divisor × quotient × remainder

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: (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: (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: (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