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Question:
Can (x 3) be the remainder on the division of a polynomial p(x) by (2x 5)
Answer:

x + 3 can not be the remainder on the division of a polynomial p(x) by 2x + 5

This is because the degree of remainder should be less than the degree of the the divisor.

In the given question, the degree of remainder is equal to the degree of divisor i.e. 1

So, x + 3 can not be the remainder on the division of a polynomial p(x) by 2x + 5

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