CBSE Class 9 Polynomials MCQ By Clarify Knowledge

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CBSE Class 9 Polynomials MCQ Table

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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: c

Explanation: The polynomial √3 can also be written as 3^1/2.

Hence, the degree of the polynomial √3 is 1/2.

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.