Class 9 Maths Chapter 2 Polynomials MCQs

Class 9 Maths Chapter 2 Polynomials MCQs are provided here online with answers. All the objective questions are given here, as per the latest CBSE syllabus and NCERT curriculum. Solving these chapter-wise MCQs will help students to score good marks in the final exam. Also, check Important Questions for Class 9 Maths.

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Class 9 Maths Chapter 2 Polynomials MCQs – Practice Questions

MCQs on Class 9 Maths Chapter 2 Polynomials

Check the multiple-choice questions for 9th Class Maths Polynomial chapter. Each MCQ will have four options here, out of which only one is correct. Students have to pick the correct option and check the answer provided here.

1) x²-2x+1 is a polynomial in:

a. One Variable

b. Two Variables

c. Three variable

d. None of the above

Answer: a

Explanation: x²-2x+1 can be written as x²-2x¹+1x⁰. Hence, we can see that x is the only variable having powers as whole numbers: 2,1 and 0.

2) The coefficient of x² in 3x³+2x²-x+1 is:

a. 1

b. 2

c. 3

d. -1

Answer: b

Explanation: The coefficient of x² in equation 3x³+2x²-x+1 is the multiple of x².

3) A binomial of degree 20 in the following is:

a. 20x + 1

b. x/20 + 1

c. x²⁰ +1

d. x²+20

Answer: c

Explanation: A polynomial having two terms and the highest degree 20 is called a binomial of degree 20.

4) The degree of 4x³-12x²+3x+9 is

a. 0

b. 1

c. 2

d. 3

Answer: d

Explanation: The degree is the highest power of a variable in an equation.

5) x² – x is ________ polynomial.

a. Linear

b. Quadratic

c. Cubic

d. None of the above

Answer: b

Explanation: A polynomial of degree two is known as a quadratic polynomial.

6) x – x³ is a ________ polynomial.

a. Linear

b. Quadratic

c. Cubic

d. None of the above

Answer: c

Explanation: A polynomial of degree three is known as a cubic polynomial.

7) 1+3x is a _________ polynomial.

a. Linear

b. Quadratic

c. Cubic

d. None of the above

Answer: a

Explanation: A polynomial of degree one is known as a linear polynomial.

8) The value of f(x) = 5x−4x²+3 when x = -1, is:

a. 3

b. -12

c. -6

d. 6

Answer: c

Explanation: When x= -1

f(x)=5x−4x²+3

f(−1)=5(−1) −4(−1)²+3

=−5–4+3

=−6

9) The value of p(t) = 2+t+2t²−t³ when t=0 is

a. 2

b. 1

c. 4

d. 0

Answer: a

Explanation: p(0)=2+0+2(0)²–(0)³=2

10) The zero of the polynomial f(x) = 2x+7 is

a. 2/7

b. -2/7

c. 7/2

d. -7/2

Answer: d

Explanation: f(x)=2x+7

⇒2x+7=0

⇒2x=−7

⇒x=−7/2

∴x = −7/2 is a zero polynomial of the polynomial f(x).

11) What is the degree of the polynomial √3?

a. 0

b. 1

c. 1/2

d. 2

Answer: a

Explanation: The polynomial √3 can also be written as √3(x⁰) .

Hence, the degree of the polynomial √3 is 0.

12) The degree of the constant polynomial is

a. 0

b. 1

c. 2

d. 3

Answer: 0

Explanation: The degree of the constant polynomial is 0. For example, 3 is a constant polynomial that is equal to 3x⁰, and its degree is 0.

13) One of the linear factors of 3x²+8x+5 is

a. (x+1)

b. (x-2)

c. (x+2)

d. (x-4)

Answer: a

Explanation: 3x²+8x+5 = 3x²+ 3x+5x+5 

3x²+8x+5 = 3x(x+1)+5(x+1)

3x²+8x+5 = (3x+5)(x+1)

Therefore, (x+1) is one of the factors of 3x²+8x+5.

14) The coefficient of x in 7x²+6x-2 is 

a. 2

b. 6

c. -2

d. 7

Answer: b

Explanation: The coefficient of x in 7x²+6x-2 is 6. Because the number multiplied by x is 6.

15) Which of the following is an example of the quadratic polynomial?

a. 7x+3

b. 2x²+x-1

c. x+3x³-9

d. None of the above

Answer: b

Explanation: 2x²+x-1 is a quadratic polynomial because the highest degree of the polynomial is 2.

16) Find the value of 7²-5².

a. 22

b. 23

c. 24

d. 25

Answer: c

Explanation: 7²-5² = 49 – 25 = 24.

17) If x²+kx+6 = (x+2)(x+3) for all k, find the value of k.

a. -1

b. 1

c. 3

d. 5

Answer: d

Explanation: x²+kx+6 = (x+2)(x+3) 

x²+kx+6 = x²+3x+2x+6

x²+kx+6 = x²+5x+6

Hence, the value of k is 5.

18) What is the zero of the polynomial p(x)=cx+d?

a. -c

b. -d

c. -d/c

d. d/c

Answer: c

Explanation: The zero of the polynomial p(x)= cx+d is -d/c. 

cx+d = 0

cx = -d

x = -d/c.

19) The zero of the polynomial p(x) = -5x+5 is

a. 0

b. -5

c. -1

d. 1

Answer: d

Explanation: p(x) = -5x+5

-5x+5 = 0

-5x = -5

x = -5/-5 =1

20) which of the following is a constant polynomial?

a. 4x+1

b. 3

c. 2x²

d. 6x+3

Answer: b

Explanation: 3 is a constant polynomial, as 3 = 3x⁰. Whereas 4x+1 and 6x+3 are linear polynomial and 2x² is a quadratic polynomial.

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