<?xml version="1.0" encoding="UTF-8"?>

<record version="6" id="1899">
 <title>monic</title>
 <name>Monic2</name>
 <created>2002-02-10 20:46:30</created>
 <modified>2005-02-28 10:15:09</modified>
 <type>Definition</type>
 <creator id="2" name="akrowne"/>
 <author id="2" name="akrowne"/>
 <classification>
	<category scheme="msc" code="12E10"/>
 </classification>
 <synonyms>
	<synonym concept="monic" alias="monic polynomial"/>
 </synonyms>
 <related>
	<object name="EisensteinCriterion"/>
	<object name="IrreduciblePolynomial2"/>
	<object name="AlgebraicInteger"/>
 </related>
 <preamble>\usepackage{amssymb}
\usepackage{amsmath}
\usepackage{amsfonts}

%\usepackage{psfrag}
%\usepackage{graphicx}
%\usepackage{xypic}</preamble>
 <content>A \emph{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.</content>
</record>
