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    Splitting Fields : Let F be an extension field of K of degree 2, then F is the splitting field over K for some polynomial.

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    Let F be an extension field of K of degree 2, then F is the splitting field over K for some polynomial.

    © BrainMass Inc. brainmass.com March 4, 2021, 6:42 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/57357

    Solution Preview

    Proof:

    Theorem: If F is a finite dimensional extension field of K, then F is finitely generated and algebraic over K.
    According to ...

    Solution Summary

    A splitting field proof is provided.

    $2.49

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