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

 
 
 
 

2. 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.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

7.  is a polynomial of degree

 
 
 
 

8. A cubic polynomial has

 
 
 
 

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

 
 
 
 

10. Factors of 3x2 – x – 4 are

 
 
 
 

11. Degree of a cubic polynomial is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

14. Zero of the zero polynomial is

 
 
 
 

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

 
 
 
 

16. Factors of x2 + 11x + 18 are

 
 
 
 

17. Expansion of (x – y)3 is

 
 
 
 

18. 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).

 
 
 
 

19. The polynomial 2x – x2 + 5 is

 
 
 
 

20. Degree of a zero polynomial is

 
 
 
 

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

 
 
 
 

22. 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.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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