Binomial (polynomial): Difference between revisions

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Reverted edits by 112.198.78.5 (talk) (HG) (3.1.19)
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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|''abcdefghijklmnopqrstuvwxyzx''}} 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.
''}} 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