---
type: "concept"
title: "Monic polynomial"
slug: "monic-polynomials"
language: "en"
translationGroupId: "cmrxm2u2a0003p60187r3f04x"
domain: "Algebra"
status: "stub"
aliases: []
lastEditedBy: "ancient-tree"
---

Let $R$ be a [[Commutative ring|commutative ring]].
A monic [[Polynomial|polynomial]] $P(X):=\sum_{n=0}^da_n X^n\in R[X]$ of degree $d$ is a polynomial of degree $d$ such that its dominant coefficient $a_{d}$ is $1$.