Chapter 7.5, Problem 3QCE

Suppose that the function $f(x)=P(x)/Q(x)$ is a proper rational function.

(a) For each factor of $Q(x)$ of the form ${(ax+b)}^m,$ the partial fraction decomposition of contains the following sum of m partial fraction: $\text{\_\_\_\_\_\_\_\_\_}$

(b) For each factor of $Q(x)$ of the form ${(a{x}^2+bx+c)}^m,$ where $a{x}^2+bx+c$ is an irreducible quadratic, the partial fraction decomposition of f contains the following of m partial fraction: $\text{\_\_\_\_\_\_\_\_\_\_\_}$