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Question

What is the remainder when p(x) = x2+3x1 is divided by x2 ?

A
2
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B
9
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C
10
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D
5
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Solution

The correct option is B 9
From Remainder theorem , we know when a polynomial p(x) is divided by xa , the remainder is p(a).

Comparing xa with x2 , we have a=2.

Substituting a = 2 in p(x)
We have
p(2)=22+3(2)1=4+61=9

The remainder is 9.

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