Firstly, the denominator polynomial of the fraction is decomposed into several linear expressions (power a [I] >; = 1) and

Quadratic formula (power b [j] >; = 1), note: the quadratic formula must be in the form of complete sum of squares, that is,

If the quadratic formula =0 is satisfied, there is no solution.

Then it is decomposed into the sum of several fractions according to the standard formula, in which each linear formula corresponds to the term a[i] and the molecule is constant;

Each quadratic form corresponds to the b[j] term, and the molecules are linear terms. General division, compare the coefficients of each power of x, and determine m+ 1 constant.

There will be examples in advanced mathematics textbooks. If you understand the principle, practice a few questions by yourself, and it will be good to be proficient.