I want to show that x^{4}-22x^{2}+1 is irreducible over Q. I believe I need to use the Eisenstein criterion, but Im not really sure how.
Hi Prove It,
I don't quite follow your argument (at least the last few lines).
with none of the linear factors in Q[x]. So the
polynomial is irreducible over the rationals? But
and so the polynomial is reducible in Q[x].