Find the roots of f(x)=x^4+x^2+1. Find the Galois group of f(x).
I know that I need to use the resolvent cubic, but I don’t know how to find it and use it. Can someone explain it to me? Thanks.

Find the roots of f(x)=x^4+x^2+1. Find the Galois group of f(x).
I know that I need to use the resolvent cubic, but I don’t know how to find it and use it. Can someone explain it to me? Thanks.

Find the roots of f(x)=x^4+x^2+1. Find the Galois group of f(x).
I know that I need to use the resolvent cubic, but I don’t know how to find it and use it. Can someone explain it to me? Thanks.