Category:Splitting Polynomials

This category contains results about Splitting Polynomials.
Definitions specific to this category can be found in Definitions/Splitting Polynomials.

Let $K$ be a field.

Let $P \in K \sqbrk X$ be a polynomial.

Definition 1

$P$ splits (completely) in $K$ if and only if it is a product of polynomials of degree $1$.

Definition 2

$P$ splits (completely) in $K$ if and only if every irreducible factor of $P$ has degree $1$.