monic polynomial

《近世代数》 · 第 192 页 · 定义 2

设 $f(x)$ 是域 $F$ 上次数大于 $0$ 的首一多项式，且 $f(x)$ 在 $F$ 上的分裂域为 $E$。

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《Introduction to Geometry (Second Edition)》 · 第 20 页 · Chapter 1，Section 1.3，Definition 1.49

Let $f(x)=\sum_{i=0}^n a_ix^i$ be a polynomial over $R$ that is not the zero polynomial, so that we can suppose $a_n\ne 0$. Then $a_n$ is called the leading coefficient of $f(x)$ […] If $R$ has the identity $1$ and if the leading coefficient of $f(x)$ is $1$, then $f(x)$ is called a monic polynomial.