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happyg1
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Homework Statement
Find the degree of the splitting field of the following:
[tex]x^6+x^3+1[/tex]
Homework Equations
The Attempt at a Solution
Can I do this?
Let [tex]y=x^3[/tex]
then
[tex]y^2+y+1[/tex]
has degree 2 over Q (From another problem)
So the degree of the splitting field is 2.
Or do I need to factor it out?
or do I need to look at the roots of the origional polynomial?
The method here is what I am confused about.
Thanks
CC
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