A polynomial is said to split over a field if
where and are in . Then the polynomial is said to split into linear factors. For example, splits over the field of complex numbers since .
A polynomial is said to split over a field if
where and are in . Then the polynomial is said to split into linear factors. For example, splits over the field of complex numbers since .
This entry contributed by Todd Rowland
Rowland, Todd. "Split." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Split.html