Partial Fractions

Partial fractions are basically the reverse of multiplying two factors out into one. Given a linear equation, the denominator has to be factored out into its two (or more) factors. Above every factor should be a letter so the set up looks something like A/(x-2) + B/(x+3). However, if one has a denominator that cannot be factored, a quadratic equation, then the numerator becomes Ax+B (and the variation of this set up). If the denominator is squared at one point, when factoring this out, this one equation that is squared has to create two different partial fractions. One must be the factor in the parenthesis and the other is the whole factor (A/x+B)^2 + B/x+B.