Show that $f(x)=x^3+(2+i)x+(1+i)$ is irreducible in $\mathbb{Z}[i][x]$

Question

Problem says:

Show that $f(x)=x^3+(2+i)x+(1+i)$ is irreducible in $\mathbb{Z}[i][x]$.

I think I have to use Eisenstein's criterion with substituting $x$ with something but for me to show that the conditions are satisfied is hard