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Question

Can (x-3) be the remainder on the division of a polynomial polynomial p(x) by (2x+5)?justify your answer.

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Solution

(x+3) can not be the reminder on the division of a polynomial p(x) by 2x-5, because the degree of reminder should be less than the degree of divisor. In the given question, the degree of reminder is equal to the degree of divisor. Hence it is not possible.

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