Polynomials MCQ

Class 9 | Mathematics

1. Which of the following is not a polynomial?
   A) 2x^3 + 5x^2 + 7x + 1
   B) 3x^2 + 1/2
   C) x^4 + 2x^3 – x^2 + 3x – 7
   D) 4x^2 – 2x + √3
2. The degree of the polynomial 4x^3 – 2x^2 + 7x – 1 is:
   A) 3
   B) 2
   C) 1
   D) 0
3. Which of the following is a binomial?
   A) 2x^3 + 4x^2 – x – 1
   B) x^2 – 3x
   C) 3x^3 – 2x^2 – x + 5
   D) 4x^2 + 7x – 3
4. If a polynomial has three terms, it is called a:
   A) Uninomial
   B) Binomial
   C) Trinomial
   D) Monomial
5. What is the coefficient of the term ‘x’ in the polynomial 3x^2 – 5x + 2?
   A) 3
   B) -5
   C) 2
   D) -2
6. The value of ‘p’ for which 2x^2 – 3x – p is a perfect square trinomial is:
   A) 9/4
   B) 3/2
   C) -9/4
   D) -3/2
7. Which of the following polynomials is of degree zero?
   A) x^2 + 2x – 1
   B) 5
   C) 3x^3 – x^2 + 2x – 7
   D) 2x^4 + 3x^2 – 1
8. If a polynomial has all its terms of degree ‘n,’ it is called a:
   A) Binomial
   B) Trinomial
   C) Monomial
   D) Homogeneous polynomial
9. The sum of the degrees of the terms in the polynomial 2x^3 + 3x^2 – x + 1 is:
   A) 6
   B) 4
   C) 3
   D) 2
10. Which of the following is a zero polynomial?
    A) 3x^2 + 2x – 1
    B) 0
    C) 4x^3 – 4x^3
    D) x^4 + 1
11. The degree of the zero polynomial is:
    A) 0
    B) 1
    C) -1
    D) It doesn’t have a degree.
12. Which of the following is an example of a cubic polynomial?
    A) 5x^2 – 2x + 7
    B) 4x^3 – x^2 + 3x + 2
    C) 2x^4 – 5x^3 + 3x^2
    D) x^3 + 2x^2 – 3x + 1
13. The value of ‘k’ for which (x – 2) is a factor of the polynomial 2x^3 – 3x^2 + kx – 4 is:
    A) 4
    B) 3
    C) 2
    D) 1
14. Which of the following is an example of a constant polynomial?
    A) x^2 – x
    B) 7
    C) 3x – 4
    D) 2x^3 + 1
15. If a polynomial is of degree 5, how many zeros can it have?
    A) 0
    B) 1
    C) 2
    D) 5
16. Which of the following is not a polynomial equation?
    A) 2x^2 + 3x – 1 = 0
    B) x^3 – 4x^2 + 5x = 2
    C) 3x – 1 = 2x^2
    D) 2x – 7 = 0
17. The remainder when the polynomial 3x^4 – 4x^3 + 2x^2 – x + 1 is divided by (x – 1) is:
    A) 0
    B) 1
    C) -1
    D) 2
18. The polynomial (x^2 + 1)(x – 3) can be simplified to:
    A) x^3 – 3x^2 + x – 3
    B) x^3 – 2x^2 – 3x – 3
    C) x^3 – 3x^2 – 2x + 3
    D) x^3 – 2x^2 – x – 3
19. If a polynomial has all its terms of degree 2, it is called a:
    A) Binomial
    B) Trinomial
    C) Monomial
    D) Quadratic polynomial
20. The factor theorem states that if ‘a’ is a zero of a polynomial p(x), then:
    A) p(x) is irreducible
    B) p(a) = 0
    C) p(a) = 1
    D) p(a) is undefined

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