---
tag: 0RZ89QWTSJ
kind: concept
name: Separable polynomial
msc: [12F10]
sources:
  - url: https://en.wikipedia.org/wiki/Separable_polynomial
    locator: lead section
same_as:
  wikidata: Q2530089
  wikipedia: Separable polynomial
---

## Summary

A separable polynomial is a polynomial that is coprime to its formal derivative.
Over a field, these are the polynomials with no repeated root in an algebraic closure.
The [[definition of a separable polynomial|03J8BS7FMV]] gives the condition.