notes/education/math/Partial Fractions.md

Degree where the numerator is less

1. Factor the bottom.
2. Create two fractions, a/p1, and b/p2, where p1 and p2 are the polynomials you just factored out, and a/b are arbitrary variables
3. Multiply a by p2, and b by p1., giving you: $$\frac{ap2}{p1} + \frac{bp1}{p2}
4. When you split the

Degree of the numerator is equal

1. First perform polynomial division.
2. Then find a partial fraction with the remainder

Degree where the numerator is greater

1. First perform polynomial division to reach a point where the degree of the numerator is less than the degree of the denominator