# Remainder theorem

### Remainder theorem

You may want to refresh your memory on polynomial long division and synthetic division to better understand this lesson. The remainder theorem simply states that if a polynomial f(x) is divided by a linear expression x-r, the value of f(r) is equal to the remainder.

###### Basic concepts:

- Polynomial long division
- Polynomial synthetic division

###### Related concepts:

- Integration of rational functions by partial fractions