Partial Fraction Decomposition

I do this so often that I should have a note on it.

$\frac{5x+4}{(x-1)(x-2)}=\frac{A}{x-1}+\frac{B}{x-2}$

When you have a quadratic factor, you need to write it as $Ax+B$. $\frac{Ax+B}{x^2+4}$ Else, you can write it as $\frac{A}{x-2}$

Fast way to compute it is using Heaviside Coverup Method.