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Question

For a polynomial p(x) when divided by x+3 leaves a remainder of 2
So which of the following is true?


A

p(3)=2

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B

p(-3)=2

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C

p(2)=-3

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D

p(-2)= 3

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Solution

The correct option is B

p(-3)=2


p(-3)=2

The remainder theorem tells us that if a polynomial p(x) is divided by x-a then the remainder is equal to p(a).so when p(x) is divided by x+3=x-(-3) , then the remainder must be p(-3)


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