Binomial (polynomial): Difference between revisions

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{{other uses|Binomial (disambiguation){{!}}Binomial}}
 
In [[algebra]], a '''binomial''' is a [[polynomial]] that is the sum of two thingsterms, each of which is a [[monomial]].<ref>{{Cite web
| last = Weisstein
| first = Eric
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 fartbinomial may be written<ref name=Sturmfels62>{{Cite journal
| last = Sturmfels
| first = Bernd