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Question

If x−1 is a factor of p(x)=x2+x−2=0, then

A
p(1)=1
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B
p(1)=0
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C
p(1)=1
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D
p(1)=2
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Solution

The correct option is C p(1)=0
We know by Factor Theorem that if xa is a factor of p(x), then, p(a)=0.
So, here also since x1 is a factor of p(x), then p(1)=0

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