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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

4. Factors of x2 + 11x + 18 are

 
 
 
 

5. Zero of the zero polynomial is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

8.  is a polynomial of degree

 
 
 
 

9. 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).

 
 
 
 

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

 
 
 
 

11. Degree of a cubic polynomial is

 
 
 
 

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

 
 
 
 

13. 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.

 
 
 
 

14. Factors of 3x2 – x – 4 are

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

18. Degree of a zero polynomial is

 
 
 
 

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

 
 
 
 

20. The polynomial 2x – x2 + 5 is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

23. A cubic polynomial has

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

28. Expansion of (x – y)3 is

 
 
 
 

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

 
 
 
 

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.

 
 
 
 

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