Remainder Theorem - Class 9 Maths MCQ

This set of Class 9 Maths Chapter 2 Multiple Choice Questions & Answers (MCQs) focuses on “Polynomials – Remainder Theorem”.

1. What is the remainder if we divide 6x³ + x² – 2x + 4 by x-2 ?
a) 48
b) 52
c) -26
d) -24
View Answer

Answer: b
Explanation: According to remainder theorem, if p(x) be any polynomial of degree greater than or equal to one and let “a” be any real number. If p(x) is divided by the linear polynomial x-a, then the remainder is p(a).
So to know the value of remainder, we have to find the value of p(2).
p(2) = 6(2)³ + (2)² – 2(2) + 4
= 6(8) + 4 – 4 + 4
= 48 + 4
= 52.

2. x² + 8x + 16 is a multiplier of x+4.
a) True
b) False
View Answer

Answer: a
Explanation: p(x) is said to be multiplier of x-a if p(a) = 0.
Therefore, checking whether p(-4) is zero of p(x) or not.
p(-4) = (-4)² + 8(-4) + 16
= 16 – 32 +16
= 32 – 32
= 0
p(-4) = 0, so we can say that x² + 8x + 16 is a multiplier of x+4.
Or in other words, we can say that there we get “0” as a remainder when we divide x² + 8x + 16 by x+4.

Sanfoundry Global Education & Learning Series – Mathematics – Class 9.

To practice all chapters and topics of class 9 Mathematics, here is complete set of 1000+ Multiple Choice Questions and Answers.

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