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

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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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.

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