I have a rational function P(x)/Q(x) with numerators and denominators
of very large degree. From the context I know that a certain
polynomial p(x) should divide the denominator. If I multiply the
numerator by p(x) giving p(x)*P(x)/Q(x)  how do I get sage to cancel
p(x) with the factor in Q(x)? In other words, how do I get sage to
simplify when I work with rational functions. Everything I've tried
either doesn't work or just sits there forever.

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