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Question

The remainder when 4x3+2x2−5x+7 is divided by x−2 is

A
8
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B
8
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C
37
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D
37
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Solution

The correct option is C 37
Let f(x)=4x3+2x25x+7

According to remainder theorem, if a polynomial f(x) is divided by a linear function xk, then the remainder is f(k).

The remainder when f(x) is divided by x2 is
f(2)=4(2)3+2(2)25(2)+7=37

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