# Galois Theory

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• April 13th 2009, 03:30 AM
GaloisGroup
Galois Theory
Let $M/\mathbb Q$ be a normal exetnsion with $D_4$ as Galois group. Show that we can get M as splitting field over
$\mathbb Q$ for an irreducible 4th degree polynomial of the form
$f(x)=x^4+bx^2+d.$