# 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 Monic1 2013-03-22 12:18:42 2013-03-22 12:18:42 akrowne (2) akrowne (2) 9 akrowne (2) Definition msc 12E10 monic polynomial EisensteinCriterion IrreduciblePolynomial2 AlgebraicInteger