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Question
Find the remainder when x4 + 1 is divided by x + 1.
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Solution
By remainder theorem we know that when a polynomial f(x) is divided by x – a, then the remainder is f(a).
f(x) = x4 + 1
Remainder = f(–1)
= (–1)4 + 1
= 1 + 1
= 2
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