Suppose that F, G, and Q are polynomials and F(x)/Q(x) = G(x)/Q(x) for all except when Q(x)

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Suppose that F, G, and Q are polynomials and F(x)/Q(x) = G(x)/Q(x) for all except when Q(x) = 0. Prove that F(x) = G(x) for all x.

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