Chapter 5.3, Problem 6P

In each of Problems 1 through 8, find the unknown constants in the given partial fraction expansion:

$\frac{-2s^3-8s^2+8s+6}{\left(s+3\right)\left(s+1\right)s^2}=\frac{a_1}{s}+\frac{a_2}{s^2}+\frac{b}{s+3}+\frac{c}{s+1}$