Definition:Monic Polynomial/Polynomial Form

Definition
Let $R$ be a commutative ring with unity $1_R$.

Let $f = a_0 + a_1 X + \cdots + a_{r-1} X^{r-1} + a_r X^r$ be a polynomial from in the single indeterminate $X$ over $R$.

Then $f$ is monic if the leading coefficient of $f$ is $1_R$.