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Question

Use remainder theorem to find remainder when p(x) is divided by q(x) in the following questions:
p(x)=2x25x+7,q(x)=x1

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Solution

Given, p(x)=2x25x+7 and q(x)=x1

q(x) x1=0 x=1

The remainder when p(x) is divided by q(x) is p(1) (By Remainder Theorem)
Thus,
p(1)=2(1)25(1)+7
p(1)=25+7
p(1)=4

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