## Theorem 7.2.11: Partial Fraction Decomposition

Suppose

*p(x)*is a polynomial of degree*n*such that*p(x) =*, where each*q*is polynomial of degree_{j}*j*that is irreducible over*. If***R***s(x)*is another polynomial of degree less than*n*with no factors in common with*p(x)*, then the rational function*s(x) / p(x)*can be written as a finite sumwhere each

*r*is a polynomial of degree less than_{j}*j*.