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Question

Find the remainder when x3+4x2−7x+6 is divided by x−1.

A
2
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B
3
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C
1
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D
4
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Solution

The correct option is D 4
Let f(x)=x3+4x27x+6

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 x1 is
f(1)=13+4(1)27+6=4

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