A normal extension 
is an algebraic extension that is the splitting
field over 
for a collection of polynomials in ![F[x]](/images/equations/NormalExtension/Inline3.svg)
. In the case of a finite
extension, only one polynomial is necessary.
Normal Extension
See also
Extension Field, Galois Extension Field, Splitting FieldThis entry contributed by Todd Rowland
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Cite this as:
Weisstein, Eric W., with contributions by Todd Rowland. "Normal Extension." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/NormalExtension.html