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.

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- May 25th 2010, 06:21 AMapple2009Galois group
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. - May 25th 2010, 07:37 AMchiph588@
- May 25th 2010, 09:39 PMTheArtofSymmetry