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Division Algorithm for a Polynomial

on dividing a...

Question

on dividing a polynomial p(x)by a 3x+1the quotient and the remainder were 2x-3 and -2 find p(x)

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Solution

on dividing a polynomial p(x)by a 3x+1the quotient and the remainder were 2x-3 and -2 find p(x)

so p(x)=(3x+1)(2x-3)-2
= (6x^2+2x-9x-3)-2
=6x^2+2x-9x-5

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