# Binomial (polynomial)

In algebra, a **binomial** is a polynomial that is the sum of two terms, each of which is a monomial.^{[1]} It is the simplest kind of sparse polynomial after the monomials.

A binomial is a polynomial which is the sum of two monomials. A binomial in a single indeterminate (also known as a univariate binomial) can be written in the form

where *a* and *b* are numbers, and *m* and *n* are distinct nonnegative integers and *x* is a symbol which is called an indeterminate or, for historical reasons, a variable. In the context of Laurent polynomials, a *Laurent binomial*, often simply called a *binomial*, is similarly defined, but the exponents *m* and *n* may be negative.