---
tag: 047SX3TD69
kind: concept
name: Multiplicity of a root
msc: [13F20]
sources:
  - url: https://en.wikipedia.org/wiki/Multiplicity_(mathematics)
    locator: Multiplicity of a root of a polynomial
---

## Summary

The multiplicity of a root $c$ of a nonzero polynomial $f$ is the largest $m$ such that $(x - c)^m$ divides $f$.
The [[definition of the multiplicity|03XVP8Q4GY]] gives the details.