Editing Binomial (polynomial) (section)

==Definition==
A binomial is a polynomial which is the sum of two monomials. A binomial in a single [[indeterminate (variable)|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 non-negative [[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 book
  | last = Sturmfels
  | first = Bernd
  | author-link = Bernd Sturmfels
  | series = CBMS Regional Conference Series in Mathematics
  | title = Solving Systems of Polynomial Equations
  | volume = 97
  | page = 62
  | year = 2002 |isbn=9780821889411 |publisher=American Mathematical Society
  | url = https://books.google.com/books?id=N9c8bWxkz9gC
  }}</ref> as:
:<math>a\, x_1^{n_1}\dotsb x_i^{n_i} - b\, x_1^{m_1}\dotsb x_i^{m_i}</math>