If I am not wrong, in partial decomposition, we are looking for a decomposition of the rational function into proper rational functions. When of the denominator factors is an irreducible quadratic, the numerator is assumed to be a linear term since both degree 1 & 0 can possibly result in a proper rational function. I am trying to understand why should the resulting decomposed functions be proper?
2026-04-02 17:49:14.1775152154
Need for proper rational functions in partial decomposition
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