polynomial

《代数学引论》 · 第 116 页

$R[\alpha]$ 的元素叫做 $\alpha$ 在 $R$ 上的多项式。

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《Introduction to Geometry (Second Edition)》 · 第 19 页 · Chapter 1，Section 1.3

Let $R$ be an arbitrary ring. A polynomial over $R$ is an expression of the form $f(x)=\sum_{i=0}^n a_ix^i=a_0+a_1x+\cdots+a_nx^n$, where $n$ is a nonnegative integer, the coefficients $a_i$, $0\leq i\leq n$, are elements of $R$, and $x$ is a symbol not belonging to $R$, called an indeterminate over $R$.