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Question
Find the remainder when x3 + 3x2 – 12x + 4 is divided by x – 2.
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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) = x3 + 3x2 – 12x + 4
Remainder = f(2)
= (2)3 + 3(2)2 – 12(2) + 4
= 8 + 12 – 24 + 4
= 0
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