Class 9 Mathematics – Chapter 2: Polynomials (MCQ Mock Test)

Master the Concepts of Polynomials with Our Exclusive MCQ Mock Test!

Can you identify zeros of a polynomial or verify the relationship between coefficients and roots? Test your understanding with this MCQ-based mock test on Polynomials, prepared as per the latest Class 9 Maths syllabus. This test includes all key concepts — types of polynomials, degree, coefficients, remainder theorem, factor theorem, and graphical representation of polynomials.

Each question is carefully designed to sharpen your analytical skills, enhance concept clarity, and improve exam performance. Ideal for school tests, final exams, or self-assessment — this mock test gives you the perfect practice to build a strong foundation in algebra.

Attempt now and become confident in solving every type of question on Polynomials!

1. If p(x) = x + 3, then p(x) + p(–x) is equal to

 
 
 
 

2. If (2x + 5) is a factor of 2x2 – k, then value of k is

 
 
 
 

3. Degree of a zero polynomial is

 
 
 
 

4. If 64x2 – y = , then the value of y is

 
 
 
 

5. Volume of a cuboid is 3x2 – 27. Then possible dimensions are

 
 
 
 

6. To factorise x3 + 13x2 + 32x + 20, we

 
 
 
 

7. Degree of a cubic polynomial is

 
 
 
 

8. Zero of the zero polynomial is

 
 
 
 

9. Direction: In the following questions a statement of assertion (A) is followed by a statement of reason (R) is given. Choose the correct answer out of the following choices.

Assertion (A): The zeroes of the polynomial f(x) = x2 – 5x + 6 are 3 and 2.
Reason (R): A linear polynomial has exactly one zero.

 
 
 
 

10. Without multiplying directly, find the product of 103 × 107.

 
 
 
 

11. Zero of the polynomial p(x), where p(x) = ax + 1, a ≠ 0, is

 
 
 
 

12. Direction: In the following questions (Q1 to Q4), a statement of assertion (A) is followed by a statement of reason (R) is given. Choose the correct answer out of the following choices

Assertion (A): The value of (102)3 = 1061208.
Reason (R): (x + y)3 = x3 + y3 + 3xy (x + y).

 
 
 
 

13. A cubic polynomial has

 
 
 
 

14. Given a polynomial p(t) = t4 – t3 + t2 + 6, then p(–1) is

 
 
 
 

15. The coefficient of x in the expansion of (x + 3)3 is

 
 
 
 

16. Which of the following is a zero of the polynomial x2 – 5x + 6?

 
 
 
 

17. Expansion of (x – y)3 is

 
 
 
 

18. Zero of the polynomial p(x) = 2 – 3x is

 
 
 
 

19. (x – 2y)3 + (2y – 3z)3 + (3z – x)3 is equal to

 
 
 
 

20. If polynomial p(x) = 3x4 – 4x3 – 3x – 1 is divided by (x – 1), then remainder is

 
 
 
 

21. Are – 3 and 3 zeros of the polynomial x + 3?

 
 
 
 

22. Zeros of the polynomial p(x) = (x – 2)2 – (x + 2)2 are

 
 
 
 

23. Which identity, do we use to factorise x2 –  

 
 
 
 

24. Factors of x2 + 11x + 18 are

 
 
 
 

25. If p(x) = (x – 1) (x + 2), then we say,

 
 
 
 

26. (x + 1) is a factor of the polynomial

 
 
 
 

27. The polynomial 2x – x2 + 5 is

 
 
 
 

28. Factors of 3x2 – x – 4 are

 
 
 
 

29.  is a polynomial of degree

 
 
 
 

30. Direction: In the following questions a statement of assertion (A) is followed by a statement of reason (R) is given. Choose the correct answer out of the following choices.

Assertion (A): The value of ‘k’ for which the polynomail (x – 3) is a factor of the polynomial x3 – x2 – kx – 3 is 5.
Reason (R): If (x – a) is a factor of the polynomial f(x), then f(–a) = 0.

 
 
 
 

Question 1 of 30