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(8g^3+19g^2-12g+9)/(g+3)
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Simplify
http://www.wolframalpha.com/input/?i=simplify+%288g%5E3%2B19g%5E2-12g%2B9%29%2F%28g%2B3%29+
Substitute x=-3 into the numerator and see if it reduces to zero. If it equals zero, then do a synthetic division of the numerator by the denominator. If it divides exactly, the quotient is the answer of simplification, with the additional condition that x \(\ne\) 3. If it does not divide, no further simplification is possible.
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