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.

Title	monic
Canonical name	Monic1
Date of creation	2013-03-22 12:18:42
Last modified on	2013-03-22 12:18:42
Owner	akrowne (2)
Last modified by	akrowne (2)
Numerical id	9
Author	akrowne (2)
Entry type	Definition
Classification	msc 12E10
Synonym	monic polynomial
Related topic	EisensteinCriterion
Related topic	IrreduciblePolynomial2
Related topic	AlgebraicInteger