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A polynomial p $(x) = x^{3}$ + ax + b leaves remainder 2 on division by $(x - 1)$ and remainder -2 on division by $(x + 1)$ .
Find the value of b.

Class 9Remainder TheoremPolynomials

A-1
B0
C1
D2

Step-by-Step Solution

p (1) = 1 + a + b = 2

so

a + b = 1. p (- 1) = - 1 - a + b = - 2

so

- a + b = - 1

. Adding:

2 b = 0, b = 0

.

Answer: B) 0

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