Eisenstein's criterion
id:
eisenstein-s-criterion-184-10100148
title:
Eisenstein's criterion
text:
In mathematics, Eisenstein's criterion gives a sufficient condition for a polynomial with integer coefficients to be irreducible over the rational numbers – that is, for it to not be factorizable into the product of non-constant polynomials with rational coefficients. This criterion is not applicable to all polynomials with integer coefficients that are irreducible over the rational numbers, but it does allow in certain important cases for irreducibility to be proved with very little effort. It
brand slug:
wiki
category slug:
encyclopedia
description:
Sufficient condition for polynomial irreducibility
original url:
https://en.wikipedia.org/wiki/Eisenstein%27s_criterion
date created:
2003-12-03T10:35:22Z
date modified:
2024-09-07T12:48:43Z
main entity:
{"identifier":"Q1057416","url":"https://www.wikidata.org/entity/Q1057416"}
image:
fields total:
13
integrity:
15