Check the below NCERT MCQ Questions for Class 9 Maths Chapter 2 Polynomials with Answers Pdf free download. MCQ Questions for Class 9 Maths with Answers were prepared based on the latest exam pattern. We have provided Polynomials Class 10 Maths MCQs Questions with Answers to help students understand the concept very well.

Students can also refer to NCERT Solutions for Class 9 Maths Chapter 2 Polynomials for better exam preparation and score more marks.

## Polynomials Class 9 MCQs Questions with Answers

Question 1.
Find the product of (x – $$\frac{1}{x}$$) (x + $$\frac{1}{x}$$) (x² + $$\frac{1}{x^2}$$)
(a) x4 + $$\frac{1}{x^4}$$
(b) x³ + $$\frac{1}{x^3}$$ – 2
(c) x4 – $$\frac{1}{x^4}$$
(d) x² + $$\frac{1}{x^2}$$ + 2

Answer: (c) x4 – $$\frac{1}{x^4}$$

Question 2.
If $$\frac{x}{y}$$ + $$\frac{y}{x}$$ = -1 (x, y ≠ 0), then find the value of x³ – y³
(a) 1
(b) -1
(c) $$\frac{1}{2}$$
(d) 0

Question 3.
Find the value of 525² – 475².
(a) 100
(b) 10000
(c) 50000
(d) 100000

Question 4.
One of the factors of (1 + 3y)² + (9y² – 1) is
(a) 1 – 3y
(b) 3 – y
(c) 3y + 1
(d) y – 3

Question 5.
One of the factors of (x³ – 1) – (x – 1) is
(a) x² + 1
(b) x² – 1
(c) x – 1
(d) x + 4

Question 6.
Find the degree of polynomial √2 .
(a) 2
(b) 0
(c) 1
(d) $$\frac{1}{2}$$

Question 7.
Find the value of k if x² + kx + 6 = (x + 2) (x + 3) for all k.
(a) 1
(b) -1
(c) 5
(d) 3

Question 8.
If x – 2 is a factor of 5x² – kx – 18, then find the value of k.
(a) -1
(b) 1
(c) 0
(d) 5

Question 9.
Find the coefficient of x² in (3x² – 5) (4 + 4x²).
(a) 12
(b) 5
(c) -8
(d) 8

Question 10.
Find the value of p for which x + p is a factor of x² + px + 3 – p.
(a) 1
(b) -1
(c) 3
(d) -3

Question 11.
Zero of the polynomial p(x) = cx + d is
(a) -d
(b) -c
(c) $$\frac{d}{c}$$
(d) –$$\frac{d}{c}$$

Answer: (d) –$$\frac{d}{c}$$

Question 12.
Find the remainder on dividing 5y³ – 2y² – 7y + 1 by y.
(a) -1
(b) 1
(c) 0
(d) 2

Question 13.
One of the factors of (16y² – 1) + (1 – 4y)²
(a) (4 + a)
(b) (4 – y)
(c) (4y + 1)
(d) 8y

Question 14.
If a + b + c = 0, then the value of a³ + b³ + c³
(a) abc
(b) -3abc
(c) 0
(d) 3abc

Question 15.
If x$$\frac{1}{3}$$ + y$$\frac{1}{3}$$ + z$$\frac{1}{3}$$ = 0, then which one of the expression is correct.
(a) x³ + y³ + z³ = 0
(b) x + y + z = 3x$$\frac{1}{3}$$y$$\frac{1}{3}$$z$$\frac{1}{3}$$
(c) x + y + z = 3xyz
(d) x³ + y³ + z³ = 3xyz

Answer: (b) x + y + z = 3x$$\frac{1}{3}$$y$$\frac{1}{3}$$z$$\frac{1}{3}$$

Question 16.
If the area of the rectangle is 4x² + 4x – 3, then find its possible dimensions.
(a) 2x – 3, 2x + 1
(b) 2x – 1, 2x + 3
(c) 3x + 1, 2x – 3
(d) 3x – 1, 2x + 3

Answer: (b) 2x – 1, 2x + 3

Question 17.
If x + $$\frac{1}{x}$$ = 4, then the value of x² + $$\frac{1}{x^2}$$
(a) 8
(b) 14
(c) 16
(d) 20

Question 18.
For what value of b, is the polynomial x³ – 3x² + bx – 6 divisible by x – 3?
(a) 1
(b) 2
(c) 3
(d) -3

Question 19.
When p(x) is divided by ax – b, then the remainder is
(a) p(a + b)
(b) P($$\frac{-b}{a}$$)
(c) p($$\frac{a}{b}$$)
(d) p($$\frac{b}{a}$$)

Answer: (d) p($$\frac{b}{a}$$)

Question 20.
What is remainder when x³ – 2x² + x + 1 is divided by x – 1?
(a) 0
(b) -1
(c) 1
(d) 2