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Question

In the division of a cubic polynomial p(x) by a linear polynomial, the remainder is p(-2).So, the divisor must be


A

x+2

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B

2x+1

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C

2x-1

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D

x-2

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Solution

The correct option is A

x+2


x+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).Here since p(-2) is the remainder, so x-(-2)=x+2 must be the divisor.


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