Determine the splitting field and its degree over Q for p(x)=x^4+4.

(I did not really understand the splitting field)

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- Apr 11th 2010, 04:18 PMapple2009splitting field
Determine the splitting field and its degree over Q for p(x)=x^4+4.

(I did not really understand the splitting field) - Apr 11th 2010, 04:55 PMNonCommAlg
the spilitting field of a polynomial over a field F is the smallest field which contains all the roots of that polynomial. so if $\displaystyle a_1, \cdots , a_n$ are the roots, then the spilitting field would be $\displaystyle F(a_1, \cdots , a_n).$

can you solve the problem now?