\begin{definition}[Definition:Coefficient of Polynomial/Polynomial Form]
Let $R$ be a commutative ring with unity.
Let $f = a_1 \mathbf X^{k_1} + \cdots + a_r \mathbf X^{k_r}$ be a polynomial in the indeterminates $\left\{{X_j: j \in J}\right\}$ over $R$.
The ring elements $a_1, \ldots, a_r$ are the '''coefficients''' of $f$.
{{SourceReview|username=Linus44}}
* {{BookReference|Abstract Algebra|2000|Pierre A. Grillet}}: $\S \text{III}.6$
Category:Definitions/Polynomial Theory
\end{definition}