A monic polynomialMathworldPlanetmath is a polynomialMathworldPlanetmathPlanetmathPlanetmath with a leading coefficient of 1. That is, if Pn(x) is a polynomial of degree n in the variableMathworldPlanetmath x, then the coefficient of xn in Pn(x) is 1.

For example, x5+3x3-10x2+1 is a monic 5th-degree polynomial. 3x2+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