Category:Definitions/Splitting Polynomials

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This category contains definitions related to Splitting Polynomials.
Related results can be found in Category: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 $1$.

Pages in category "Definitions/Splitting Polynomials"

The following 3 pages are in this category, out of 3 total.