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Question: How can I compute the complete partial fractorization in algebraically closed field?

Question:How can I compute the complete partial fractorization in algebraically closed field?

Exiu 15 Maple
August 20 2024
1

if I have arational function f(x) in C(x), where C is the complex field, then the partial fraction of f can be written as 

f(x)=p(x)+\sum_{i=0}^n a[i]/(1-b[i]*x)^c[i]
i.e., every denominator is linear in x.

How can I get this factorization in maple, and I think when the degree of the denominator is too high, we can not get the explicit a[i] and b[i], in this situation, can we get their minimal polynomials?
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