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Math Help - splitting field

  1. #1
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    splitting field

    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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  2. #2
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    Quote Originally Posted by apple2009 View Post
    Determine the splitting field and its degree over Q for p(x)=x^4+4.
    (I did not really understand the splitting field)
    the spilitting field of a polynomial over a field F is the smallest field which contains all the roots of that polynomial. so if a_1, \cdots , a_n are the roots, then the spilitting field would be F(a_1, \cdots , a_n).

    can you solve the problem now?
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