This set of Class 9 Maths Chapter 2 Multiple Choice Questions & Answers (MCQs) focuses on “Polynomials”. These MCQs are created based on the latest CBSE syllabus and the NCERT curriculum, offering valuable assistance for exam preparation.

1. What is the coefficient of x^{3} in a polynomial 6x^{4} + 3x^{2} + 8x + 5?

a) 6

b) 3

c) 8

d) 0

View Answer

Explanation: Coefficient is the number which is multiplied with respective variable.

In the given polynomial 6x

^{4}+ 3x

^{2}+ 8x + 5, there is not an expression containing x

^{3}. So we can write 6x

^{4}+ 3x

^{2}+8x+5 as 6x

^{4}+ 0x

^{3}+ 3x

^{2}+ 8x + 5. We can see that 0 is multiplied with expression x

^{3}, so coefficient of x

^{3}is 0.

2. \(\frac{1}{\sqrt[2]{x}}\) is a polynomial.

a) True

b) False

View Answer

Explanation: For an expression to be a polynomial, exponent of variable has to be whole number.

\(\frac{1}{\sqrt[2]{x}}\) can be written as x

^{-1/2}. We can see that exponent of x is -1/2 which is not whole number (W = {0, 1, 2, 3…}). Hence, \(\frac{1}{\sqrt[2]{x}}\) is not a polynomial.

3. What is the degree of a polynomial of 4x^{7}+9x^{5}+5x^{2}+11?

a) 7

b) 4

c) 5

d) 2

View Answer

Explanation: Degree of a polynomial is the highest power of variable in a polynomial.

The term with the highest power of x is 4x

^{7}and exponent of x in that term is 7, so the degree of polynomial of 4x

^{7}+ 9x

^{5}+5x

^{2}+11 is 7.

4. What is the degree of a polynomial 7?

a) 7

b) 1

c) 0

d) 2

View Answer

Explanation:

**Degree of a non-zero constant polynomial is zero**.

We can see that given polynomial 7 contain only one term and that is constant. 7 can also be written as 7x

^{0}.

Hence degree of 7 is zero.

5. What is the degree of 0?

a) Not defined

b) 1

c) 2

d) 0

View Answer

Explanation:

**Degree of the zero polynomial is not defined**.

Zero polynomial is denoted by 0, and degree for that is not defined.

6. A quadratic polynomial can have at most __________ terms.

a) 1

b) 4

c) 2

d) 3

View Answer

Explanation:

**A polynomial of degree 2 is called quadratic polynomial**.

Quadratic polynomials are of the form ax

^{2}+bx+c and it can contain at most three terms namely ax

^{2}, bx and c. Thus, we can say that a quadratic polynomial can have at most three terms.

Similarly,

**a polynomial of degree 1 is called linear polynomial and a polynomial of degree 3 is called cubic polynomial**.

**More MCQs on Class 9 Maths Chapter 2:**

- Chapter 2 – Polynomials MCQ (Set 2)
- Chapter 2 – Polynomials MCQ (Set 3)
- Chapter 2 – Polynomials MCQ (Set 4)
- Chapter 2 – Polynomials MCQ (Set 5)

To practice all chapters and topics of class 9 Mathematics, __ here is complete set of 1000+ Multiple Choice Questions and Answers__.

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