An extension 
of a field 
is said to be algebraic if every element of 
is algebraic over 
(i.e., is the root of a nonzero polynomial with coefficients
in 
).
Algebraic Extension
See also
Galois Extension FieldThis entry contributed by Nicolas Bray
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Bray, Nicolas. "Algebraic Extension." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/AlgebraicExtension.html