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Hope it's not too stupid: is there any general approach to partial fraction expansion when the degrees of polynomials in the numerator are unknown?

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Hard to tell. Did you have a specific example in mind? –  J. M. Sep 26 '11 at 3:11
    
The first step would be to divide the numerator by the denominator and worry only about the remainder. The remainder has degree smaller than the denominator. –  Srivatsan Sep 26 '11 at 3:16
    
@JM: something like $\frac{a_k +b_k}{s_{k}p_{k}}=\frac{A_k}{s_{k}}+\frac{B_{k}}{p_{k}}$ I realize it may be a bit vague, but i'm thinking only about a general approach, if there is one, of course. –  sigma.z.1980 Sep 27 '11 at 6:09

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