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Binomial (polynomial)
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Binomial (polynomial) : ウィキペディア英語版
Binomial (polynomial)

In algebra, a binomial is a polynomial which is the sum of two terms, which are monomials. It is the simplest kind of polynomial after the monomials.
==Definition==
A binomial is a polynomial which is the sum of two monomials. A binomial in a single indeterminate (also known as a univariate binomial) can be written in the form
:a x^n - bx^m \,,
where a and b are numbers, and n and m are distinct nonnegative integers and x is a symbol which is called an indeterminate or, for historical reasons, a variable. In some contexts, the exponents m and n may be negative, in which case the monomial is a Laurent binomial.
More generally, a binomial may be written as:
:a x_1^\dotsb x_i^ - b x_1^\dotsb x_i^
Some examples of binomials are:
:3x - 2x^2
:xy + yx^2
:x^2 + y^2

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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