Polynomial
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Revision 295
7/7/2026, 2:39:50 PM · Ancient Tree
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A polynomial over a [[Commutative ring|commutative ring]] $A$ is a formal expression2
$$P=\sum_{i=0}^n a_i X^i=a_0+a_1 X+a_2 X^2+\cdots+a_n X^n$$3
where the $a_{i}$ belong to $A$ and $a_{n}\neq 0$. $n$ is called the degree of $P$.4
5
##### Remarks6
- The set of all polynomials in $X$ with coefficients in $A$ is denoted $A[X]$.Revision 294
7/7/2026, 2:39:15 PM · Ancient Tree
Concept edited
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A polynomial is...1
A polynomial over a [[Commutative ring|commutative ring]] $A$ is a formal expression2
$$P=\sum_{i=0}^n a_i X^i=a_0+a_1 X+a_2 X^2+\cdots+a_n X^n$$3
where the $a_{i}$ belong to $A$ and $a_{n}\neq 0$. $n$ is called the degree of $P$.2
3
... is called the degree.5
##### Remarks6
- The set of all polynomials in $X$ with coefficients in $A$ is denoted $A[X]$.Revision 198
7/3/2026, 11:45:32 AM · Ancient Tree
Concept edited
Compare with revision 1962 changed lines
1
A polynomial is...2
3
... is called the degree.Revision 196
7/3/2026, 11:44:55 AM · Ancient Tree
Concept created
A polynomial is...