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 a 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 non-negative 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.