Definition:Separable Polynomial

Definition
Let $K$ be a field.

Let $P \left({X}\right) \in K \left[{X}\right]$ 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