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. A cubic polynomial has

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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.  is a polynomial of degree

 
 
 
 

11. Expansion of (x – y)3 is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

14. Zero of the zero polynomial is

 
 
 
 

15. The polynomial 2x – x2 + 5 is

 
 
 
 

16. Factors of 3x2 – x – 4 are

 
 
 
 

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

 
 
 
 

18. 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.

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

23. 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).

 
 
 
 

24. Factors of x2 + 11x + 18 are

 
 
 
 

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

 
 
 
 

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

 
 
 
 

27. Degree of a cubic polynomial is

 
 
 
 

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

 
 
 
 

29. Degree of a zero polynomial is

 
 
 
 

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

 
 
 
 

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