Definition:Separable Polynomial

Definition
Let $K$ be a field.

Let $\map P X \in K \sqbrk X$ be a polynomial of degree $n$.

Also defined as
A separable polynomial is also seen defined as a polynomial whose irreducible factors are separable in the sense of the definition above.

Also see

 * Equivalence of Definitions of Separable Polynomial
 * Definition:Discriminant (Polynomial)
 * Definition:Separable Extension