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Homemonic

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# monic

A *monic polynomial* is a polynomial with a leading coefficient of 1. That is, if $P_{n}(x)$ is a polynomial of degree $n$ in the variable $x$, then the coefficient of $x^{n}$ in $P_{n}(x)$ is 1.

For example, $x^{5}+3x^{3}-10x^{2}+1$ is a monic 5th-degree polynomial. $3x^{2}+2z-5$ is a 2nd-degree polynomial which is not monic.

Related:

EisensteinCriterion, IrreduciblePolynomial2, AlgebraicInteger

Synonym:

monic polynomial

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

12E10*no label found*

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