Monic polynomial
Concept history
A revision trail for this concept page.
Revision 572
7/23/2026, 2:54:00 PM · Ancient Tree
Concept edited
Compare with revision 571No text changes
1
Let $R$ be a [[Commutative ring|commutative ring]].2
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 $1$.Revision 571
7/23/2026, 2:53:41 PM · Ancient Tree
Concept edited
Compare with revision 5702 changed lines
1
Let $R$ be a [[Commutative ring|commutative ring]].2
A monic [[Polynomial|polynomial]] $P(X):=\sum_{n=0}^da_n X^d\in R[X]$ of degree $d$ is a polynomial of degree $d$ such that its dominant coefficient $a_{d}$ is $1$.2
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 $1$.Revision 570
7/23/2026, 2:53:13 PM · Ancient Tree
Concept edited
Compare with revision 567No text changes
1
Let $R$ be a [[Commutative ring|commutative ring]].2
A monic [[Polynomial|polynomial]] $P(X):=\sum_{n=0}^da_n X^d\in R[X]$ of degree $d$ is a polynomial of degree $d$ such that its dominant coefficient $a_{d}$ is $1$.Revision 567
7/23/2026, 2:34:40 PM · Sequoia
Concept edited
Compare with revision 5662 changed lines
1
Let $R$ be an [[integer domain|integer domain]].1
Let $R$ be a [[Commutative ring|commutative ring]].2
A monic [[Polynomial|polynomial]] $P(X):=\sum_{n=0}^da_n X^d\in R[X]$ of degree $d$ is a polynomial of degree $d$ such that its dominant coefficient $a_{d}$ is $1$.Revision 566
7/23/2026, 2:33:20 PM · Sequoia
Concept created
Let $R$ be an [[integer domain|integer domain]].
A monic [[Polynomial|polynomial]] $P(X):=\sum_{n=0}^da_n X^d\in R[X]$ of degree $d$ is a polynomial of degree $d$ such that its dominant coefficient $a_{d}$ is $1$.