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Find the values of a and b so that $x^{4} + x^{3} + 8 x^{2}$ + ax + b is exactly divisible by $x^{2} + 1$ .
What is the value of b?

Class 10Division AlgorithmAlgebra — Polynomials

A14
B6
C7
D8

Step-by-Step Solution

From the division, remainder =

(a - 1) x + (b - 7)

. For exact division,

b - 7 = 0

, so

b = 7

.

Answer: C) 7

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