I need help proving that $x^2+x+1$ is irreducible in $\mathbb{Z}_{5}[\sqrt{2}](x)$. Anyone be willing to at least help me get a good start?
--edit: typo, added the (x) for $\mathbb{Z}_{5}[\sqrt{2}](x)$
I need help proving that $x^2+x+1$ is irreducible in $\mathbb{Z}_{5}[\sqrt{2}](x)$. Anyone be willing to at least help me get a good start?
--edit: typo, added the (x) for $\mathbb{Z}_{5}[\sqrt{2}](x)$