Eisensteins criterion and irreducible polynomials

[catcherintherye]

Homework Equations

The Attempt at a Solution

i am confused as to how one determines a given polynomial does not satisfy the eisenstein crtiterion, for example...


...i am told x^4 + 4x^3 + 6x^2 + 13x + 13 fails to satisfy eisentein

 

[HallsofIvy]

Okay, first of all what is eisenstein's criterion?!

I'm looking at the definition on
http://en.wikipedia.org/wiki/Eisenstein's_criterion
and it seems pretty obvious to me!