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. 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.

 
 
 
 

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

 
 
 
 

3. Degree of a cubic polynomial is

 
 
 
 

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

 
 
 
 

5. Zero of the zero polynomial is

 
 
 
 

6. 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.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

9.  is a polynomial of degree

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

13. The polynomial 2x – x2 + 5 is

 
 
 
 

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

 
 
 
 

15. Degree of a zero polynomial is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

20. Factors of 3x2 – x – 4 are

 
 
 
 

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

 
 
 
 

22. 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).

 
 
 
 

23. Factors of x2 + 11x + 18 are

 
 
 
 

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

 
 
 
 

25. A cubic polynomial has

 
 
 
 

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

 
 
 
 

27. Expansion of (x – y)3 is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

Question 1 of 30