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Question

# Remainder theorem states that

A

Let p(x) be any polynomial of degree less than or equal to one and let 'a' be any real number. If p(x) is divided by the linear polynomial (x-a), then the remainder is p(a).

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B

Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If p(x) is divided by the linear polynomial (x-a), then the remainder is always 0.

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C

Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any natural number. If p(x) is divided by the linear polynomial (x-a), then the remainder is p(a)

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D

Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If p(x) is divided by the linear polynomial (x-a), then the remainder is p(a)

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Solution

## The correct option is D Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If p(x) is divided by the linear polynomial (x-a), then the remainder is p(a) Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If p(x) is divided by the linear polynomial (x-a), then the remainder is p(a).

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