Rewrite rational function as the sum of a polynomial and partial fraction?

Question

I know how to approach this with a higher degree in the numerator with division but not the other way around.
Can someone give me a hint?
$$f(x) = frac{(x^2 + x - 2)}{(x^4 + 2x^3 - 3x^2)}$$

Dietrich Burde · Answer

Note that factoring numerator and denominator gives
$$
f(x)=frac{(x+2)(x-1)}{(x+3)(x-1)x^2}
$$

Rewrite rational function as the sum of a polynomial and partial fraction?

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