Algebra question (irreducibility of polynomial)

[nicolep]

Homework Statement

Show that this polynomial is irreducible over Q[x]

Homework Equations

x^4 + 6x^3 + 14x^2 + 16x + 9

The Attempt at a Solution

I think Eisenstein's criterion will have to be used. But is some substitution to be made??
Please help!
Thanks

 

[morphism]

Try x=y+1.