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Divide quadratics by linear expressions (with remainders)

Problem

Divide the polynomials.
Your answer should be in the form p, left parenthesis, x, right parenthesis, plus, start fraction, k, divided by, x, plus, 3, end fraction where p is a polynomial and k is an integer.
start fraction, x, squared, plus, 5, x, plus, 5, divided by, x, plus, 3, end fraction, equals
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