A **polynomial** is an expression formed from one or more terms and constants by addition, each term of which should contain a variable raised to a non-negative integer power.

## Formal Definition

Let be a ring (such as the real numbers, rational numbers, or integers). Now let be a natural number and be elements of . Then the function defined by:

For all in is said to be a polynomial function in a single variable.

Moreover, if , we say that is an th-degree polynomial.

We denote the set of polynomials as .

## Polynomial long division

Dividing a polynomial follows a process similar to long division.