Home/Algebra/Rational expressions and partial fractions/Partial fractions: repeated factor6. Rational expressions and partial fractionsPartial fractions: repeated factorLevel: intermedioIn 6. Rational expressions and partial fractionsFormulaCopy LaTeXP(x)(x−a)n=∑k=1nAk(x−a)k\frac{P(x)}{(x-a)^n}=\sum_{k=1}^{n}\frac{A_k}{(x-a)^k}(x−a)nP(x)=k=1∑n(x−a)kAkTagsalgebraexpressions rationalalgebra formulapartial fractionsDetailDecomposition for repeated linear factors.Found an error? Contact us.Related formulasRelatedPartial fractions: distinct linear factorsP(x)(x−a)(x−b)=Ax−a+Bx−b\frac{P(x)}{(x-a)(x-b)}=\frac{A}{x-a}+\frac{B}{x-b}(x−a)(x−b)P(x)=x−aA+x−bBOpen formulaOpen in section