Binomial (polynomial): Difference between revisions

(→‎Definition: clarification)
A binomial is a polynomial which is the sum of two [[monomial]]s. A binomial in a single indeterminate (also known as a [[univariate]] binomial) can be written in the form
:<math>a x^n - bx^m \,,</math>
where <math>a</math> and <math>b</math> are [[number]]s, and <math>n</math> and <math> m</math> are distinct [[nonnegative integer]]s and <math>x</math> is a symbol which is called an [[indeterminate (variable)|indeterminate]] or, for historical reasons, a [[variable (mathematics)|variable]]. In the context of [[Laurent polynomial]]s, a ''Laurent binomial'', often simply called ''binomial'' is similarly defined, but the exponents <math>m</math> and <math>n</math> may be negative.
More generally, a binomial may be written<ref name=Sturmfels62>{{Cite journal