I have a rational fraction of the form:
$$s=\frac{p_0+p_1x+p_2x^2+\cdots+p_Mx^M}{1+q_1x+q_2x^2+\cdots+q_Mx^M} $$
The paper I am reading converts this to the form:
$$s = b_0+\sum^M_{m=1}\frac{b_m}{\lambda_m+x}$$
But it doesn't show any steps. Does anyone know the steps for how they got the second equation?
Any help is greatly appreciated.
Cheers