Partial fraction decomposition
- Przemysław Kajetanowicz
In the interactive illustration below, you can experimentally confirm the fact that each rational function of the form can be written as a sum of a polynomial and a number of partial fractions. A function of the form is called a partial fraction of type I. A function of the form , where , is called a partial fraction of type II.
Try the following functions: ; , where is a constant. Then prove that for each the following equality holds: Use the last equality to prove that if then