# Class 9 Maths MCQ – Polynomials

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 x3 in a polynomial 6x4 + 3x2 + 8x + 5?
a) 6
b) 3
c) 8
d) 0

Explanation: Coefficient is the number which is multiplied with respective variable.
In the given polynomial 6x4 + 3x2 + 8x + 5, there is not an expression containing x3. So we can write 6x4+ 3x2+8x+5 as 6x4 + 0x3 + 3x2 + 8x + 5. We can see that 0 is multiplied with expression x3, so coefficient of x3 is 0.

2. $$\frac{1}{\sqrt[2]{x}}$$ is a polynomial.
a) True
b) False

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 4x7+9x5+5x2+11?
a) 7
b) 4
c) 5
d) 2

Explanation: Degree of a polynomial is the highest power of variable in a polynomial.
The term with the highest power of x is 4x7 and exponent of x in that term is 7, so the degree of polynomial of 4x7+ 9x5+5x2+11 is 7.

4. What is the degree of a polynomial 7?
a) 7
b) 1
c) 0
d) 2

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 7x0.
Hence degree of 7 is zero.

5. What is the degree of 0?
a) Not defined
b) 1
c) 2
d) 0

Explanation: Degree of the zero polynomial is not defined.
Zero polynomial is denoted by 0, and degree for that is not defined.
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6. A quadratic polynomial can have at most __________ terms.
a) 1
b) 4
c) 2
d) 3

Explanation: A polynomial of degree 2 is called quadratic polynomial.
Quadratic polynomials are of the form ax2+bx+c and it can contain at most three terms namely ax2, 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: