Eisenstein's criterion

Let $a_0, a_1, ... ,a_n$ be integers. Then, Eisenstein's Criterion states that the polynomial $a_nx^n+a_{n-1}x^{n-1}+ ... + a_1x+a_0$ cannot be factored into the product of two non-constant polynomials if:

$1) p$ is a prime which divides each of $a_0,a_1,a_2,...,a_{n-1}$

$2) a_n$ is not divisible by $p$

$3) a_0$ is not divisible by $p^2$

This article is a stub. Help us out by expanding it.

Page

Toolbox

Search

Eisenstein's criterion