Binomial (polynomial)

In algebra, a binomial is a polynomial that is the sum of two terms, each of which is a monomial. It is the simplest kind of polynomial after the monomials.
Definition.
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 and are numbers, and and are distinct nonnegative integers and 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 and may be negative.
More generally, a binomial may be written as: