CBSE Class 10 Mathematics Chapter 2 Polynomials Multiple Choice Questions with Answers. MCQ Questions Class 10 Mathematics Polynomials with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Polynomials MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 2
Question 1:
If a polynomial p(y) is divided by y + 2, then which of the following can be the remainder:
(a) y + 1
(b) 2y + 3
(c) 5
(d) y – 1
Correct Answer – (C)
Question 2 :
If the polynomials ax3 + 4x2 + 3x – 4 and x3 – 4x + a, leave the same remainder when divided by (x – 3), then value of a is :
(a) 2b
(b) – 1
(c) 1
(d) – 2b
Correct Answer – (B)
q(x) = x³ – 4x + a
p(3) = q(3)
a = – 1
Question 3 :
If p(x) = 2x⁴ – ax³ + 4x² + 2x + 1 is a. multiple of 1 – 2x, then find the value of a :
(a) 25
(b) 1/2
(c) -1/2
(d) 8
Correct Answer – (A)
Question 4 :
If -2 is a zero of p(x) = (ax³ + bx² + x – 6) and p(x) leaves a remainder 4 when divided by (x – 2), then the values of a and b are (respectively):
(a)a = 2,b = 2
(b) a = 0,b = – 2
(c) a = 0, b = 2
(d) a = 0, b = 0
Correct Answer – (C)
If – 2 is a zero =>
p(- 2) = 0
=> – 2a + b = 2
Also, p(2) = 4
2a + b = 2=>a = 0and b = 2
Question 5 :
If x101 + 1001 is divided by x + 1, then remainder is:
(a) 0
(b) 1
(c) 1490
(d) 1000
Correct Answer – (A)
Question 6 :
If one zero of a polynomial p(x) = ax² + bx + c(a ≠ 0) is zero, then, which of the following is correct:
(a) b = 0
(b) c = 0
(c) other zero is also zero
(d) Nothing can be said about p(x).
Correct Answer – (B)
Question 7 :
If α, s are the zeroes of x² – lx + m, then
(α/s) + (s/α)
(a) (l2 – 2m)/m
(b) (l2 + 2m)/m
(c) (l – 2m)/m
(d) (l2 – 2m)
Correct Answer – (A)
Question 8 :
Sum of the squares of the zeroes of the polynomial p(x) = x² + 7x – k is 25, find k.
(a) 12
(b) 49
(c) – 24
(d) – 12
Correct Answer – (A)
Question 9 :
If one zero of 3x² – 8x + 2k + 1 is seven times the other, find k.
(a) 2/3
(b) 1/3
(c) 4/3
(d) 5/3
Correct Answer – (A)
Question 10 :
Let, α, s, v be the zeroes of x³ + 4x² + x- 6 such that product of two of the zeroes is 6. Find the third zero.
(a) 6
(b) 2
(c) 4
(d) 1
