First, you need to know what a partial fraction is. A partial fraction is a way to find the answers to the parts of a fraction problem that, when added together, give us the answer to the whole fraction problem. Often, we break the fraction into smaller parts to make it easier and faster to solve the problem. Solving Integral Calculus is one place where the partial fraction is used quite often. On the other hand, sometimes you can't even solve a problem by using the roots because there are still unknown variables. So the next step is to add up all the powers of x and then use a system of linear equations to find the answer.