Algebraic Laws

• Factor theorem:

  If f(a)=0, then (x-a) is a factor of f(x) and vice versa
• Partial fractions

  $\frac{X}{\left(x+a\right)^2\left(x+b\right)}=$ $\frac{A}{\left(x+a\right)}$ + $\frac{B}{\left(x+a\right)^2}$ + $\frac{C}{\left(x+b\right)}$