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Question

If p(x)=x2+2x+3 is divided by x–1,then what is the remainder?

A
3
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B
4
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C
5
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D
6
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Solution

The correct option is D 6
By remainder theorem, we know thatif a polynomial f(x) is divided by (x - a), the remainder obtained is f(a).

From the remainder theorem, when p(x) is divided by (x – 1), the remainder is p(1).

p(x)=x2+2(x)+3
p(1)=12+2(1)+3=6

Thus the remainder is 6.

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