Home/Calculus II/Rational functions and partial fractions/Repeated linear factorsSection 8.2Repeated linear factorsFor (x−r)m(x-r)^m(x−r)m, all terms are included:Copy LaTeXA1x−r+A2(x−r)2+⋯+Am(x−r)m.\frac{A_1}{x-r}+\frac{A_2}{(x-r)^2}+\cdots+\frac{A_m}{(x-r)^m}.x−rA1+(x−r)2A2+⋯+(x−r)mAm.View detail →
For (x−r)m(x-r)^m(x−r)m, all terms are included:Copy LaTeXA1x−r+A2(x−r)2+⋯+Am(x−r)m.\frac{A_1}{x-r}+\frac{A_2}{(x-r)^2}+\cdots+\frac{A_m}{(x-r)^m}.x−rA1+(x−r)2A2+⋯+(x−r)mAm.View detail →