Case: (x−a)2(x-a)^2(x−a)2 If the denominator has a repeated linear factor: P(x)(x−a)2=Ax−a+B(x−a)2\frac{P(x)}{(x-a)^2}=\frac{A}{x-a}+\frac{B}{(x-a)^2}(x−a)2P(x)=x−aA+(x−a)2B and similarly for higher powers.