MCQ Questions for Class 9 Maths: Ch 2 Polynomials

MCQ Questions for Class 9 Maths: Ch 2 Polynomials

1. A binomial of degree 20 in the following is:
(a) 20x + 1
(b) x/20 + 1
(c) x20 +1
(d) x2+20
► (c) x20 +1

2. x2 – x is ________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above
► (b) Quadratic

3. x-a is a factor of p(x) = ax2+bx+c. Which of the following is true?​
(a) p(a) = 2
(b) p(a) = 0
(c) p(2) = 1
(d) p(b) = 0
► (b) p(a) = 0

4. Solution of a quadratic equation x2+ 5x - 6 = 0
(a) x = -1, x = 6
(b) x = 1, x = -6
(c) x = 1
(d) x = 6
► (b) x = 1, x = -6

5. Factoring 3x2-5x+2
(a) (3x-2)(x-1)
(b) (x+2)(3x-1)
(c) (3x+2)(x-1)
(d) (x-2)(3x+1)
► (a) (3x-2)(x-1)

6. The value of p for which x + p is a factor of x2+ px + 3 – p is:
(a) -3
(b) 3
(c) 1
(d) -1
► (b) 3

7. Evaluate (11)3
(a) 1313
(b) 1331
(c) 3131
(d) 3113
► (b) 1331

8. 1+3x is a _________ polynomial.
(a) Linear
(b) Quadratic
(c) Cubic
(d) None of the above
► (a) Linear

9. The value of k for which x – 1 is a factor of the polynomial 4x3+ 3x2 – 4x + k is :-
(a) 3
(b) 0
(c) 1
(d) - 3
► (d) - 3

10. The value of p(t) = 2+t+2t2−t3 when t=0 is
(a) 2
(b) 1
(c) 4
(d) 0
► (a) 2

11. If 3 + 5 – 8 = 0, then the value of (3)3 + (5)3 – (8)3 is
(a) 260
(b) –360
(c) –160
(d) 160
► (b) –360

12. If x + 2 is a factor of x3 – 2ax2 + 16, then value of a is
(a) 3
(b) 1
(c) 4
(d) 2
► (b) 1

13. If x + 2 is a factor of x3 – 2ax2 + 16, then value of a is
(a) 3
(b) 1
(c) 4
(d) 2
► (b) 1

14. Find the value of a such that (x – 2) is the factor of the polynomial x4 + ax3 + 2x2– 3x
(a) a = – 3/4
(b) a = 3/4
(c) a = -9/4
(d) a = 9/4
► (a) a = – 3/4

15. A polynomial of degree 5 in x has at most
(a) 5 terms
(b) 4 terms
(c) 6 terms
(d) 10 terms
► (c) 6 terms

16. The zero of the polynomial f(x) = 2x+7 is
(a) 2/7
(b) -2/7
(c) 7/2
(d) -7/2
► (d) -7/2

17. √3 is a polynomial of degree:
(a) 2
(b) 0
(c) 1
(d) 1/2
► (b) 0

18. What is the degree of a zero polynomial?
(a) 0
(b) 1
(c) Any natural number
(d) Not defined
► (d) Not defined

19. A polynomial with one degree is called:
(a) Linear polynomial
(b) Quadratic polynomial
(c) Monomial
(d) Binomial
► (a) Linear polynomial

20. For a polynomial p(x), p(-1) and p(2) are both equal to zero .So, we can conclude that,
(a) (x2 + 2x - 1) is a factor
(b) (x2 - 2x + 1) is a factor
(c) (x2 - x - 2) is a factor
(d) (x2 - x + 2) is a factor
► (c) (x2 - x - 2) is a factor

21. For a polynomial p(x), x-2 is a factor, so p(2) is _______​
(a) -1
(b) 0
(c) -2
(d) 2
► (b) 0

22. Degree of zero polynomial is:
(a) 1
(b) Any natural number
(c) 0
(d) Not defined
► (d) Not defined
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