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monic polynomial : ウィキペディア英語版
monic polynomial

In algebra, a monic polynomial is an univariate polynomial in which the leading coefficient (the nonzero coefficient of highest degree) is equal to 1. Therefore, a monic polynomial has the form
:x^n+c_x^+\cdots+c_2x^2+c_1x+c_0
== Univariate polynomials ==
If a polynomial has only one indeterminate (univariate polynomial), then the terms are usually written either from highest degree to lowest degree ("descending powers") or from lowest degree to highest degree ("ascending powers"). A univariate polynomial in ''x'' of degree ''n'' then takes the general form displayed above, where
: ''c''''n'' ≠ 0, ''c''''n''−1, ..., ''c''2, ''c''1 and ''c''0
are constants, the coefficients of the polynomial.
Here the term ''c''''n''''x''''n'' is called the ''leading term'', and its coefficient ''c''''n'' the ''leading coefficient''; if the leading coefficient , the univariate polynomial is called monic.

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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