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 doi =
 accessdate = 29 March 2011}}</ref> It is the simplest kind of polynomial after the monomials.
==Definition==
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^m  bx^n \,,</math>
where {{math''a''}} and {{math''b''}} are [[number]]s, and {{math''m''}} and {{math''n''}} are distinct [[nonnegative integer]]s and {{math''x''}} 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 a ''binomial'', is similarly defined, but the exponents {{math''m''}} and {{math''n''}} may be negative.
More generally, a binomial may be written<ref name=Sturmfels62>{{Cite journal
 last = Sturmfels
 first = Bernd
 authorlink = Bernd Sturmfels
 journal = CBMS Regional Conference Series in Mathematics
 title = Solving Systems of Polynomial Equations
 publisher = Conference Board of the Mathematical Sciences
 issue = 97
 page = 62
 year = 2002
 url = https://books.google.com/books?id=N9c8bWxkz9gC
 accessdate = 21 March 2014}}</ref> as:
:<math>a x_1^{n_1}\dotsb x_i^{n_i}  b x_1^{m_1}\dotsb x_i^{m_i}</math>
Some examples of binomials are:
:<math>3x  2x^2</math>
:<math>xy + yx^2</math>
:<math>0.9 x^3 + \pi y^2</math>
==Operations on simple binomials==
