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Question
Find the remainder when x4 – 3x2 + 2x + 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 – 3x2 + 2x + 1
Remainder = f(1)
= (1)4 – 3(1)2 + 2(1) + 1
= 1 – 3 + 2 + 1
= 1
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