help me with this excercice..
Let $F$ be a field and $K$ a splitting field for some nonconstant polynomial over $F$. Show that $K$ is a finite extension of $F$.
$K$ is a splitting field.
$K=F(a_1,a_2,...,a_n)$ for $a_i$ roots for polynomial over $F$, i guess that have proof $[K:F]=n$ help