---
tag: 0JVSNJCN68
kind: concept
name: Split polynomial
msc: [12F05]
sources:
  - url: https://en.wikipedia.org/wiki/Splitting_field
    locator: Definition
---

## Summary

A polynomial splits over a field when it is a product of polynomials of degree one with coefficients in that field.
The [[definition of a split polynomial|0SHMC00RJV]] states it.