Definition:Monic Polynomial
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Definition
Let $A$ be a commutative ring with unity $1$.
Let $f = a_0 + a_1 X + \cdots + a_{r-1} X^{r-1} + a_r X^r$ be a polynomial in the single indeterminate $X$ over $A$.
Then $f$ is monic if the leading coefficient of $f$ is $1$.
Sources
- C.R.J. Clapham: Introduction to Abstract Algebra (1969)... (previous)... (next): $\S 6.25$
- Thomas A. Whitelaw: An Introduction to Abstract Algebra (1978)... (previous)... (next): $\S 64$
