Let \(L/K\) be a field extension. An element \(\alpha \in L\) is algebraic over \(K\) if there exists a nonzero polynomial \(g\in K[x]\) with \(g(\alpha) = 0\).
For a field extension $L/K$, when is $\alpha \in L$ algebraic over $K$?
Algebraic element of a field extension
FD-2EVYB