Definition, Meaning & Synonyms
monic
adjective
/ˈmɒnɪk/
Definition
Monic refers to a polynomial whose leading coefficient is equal to one.
Examples
- The expression x² – 3x + 2 is a monic polynomial.
- To make a polynomial monic, divide all terms by the leading coefficient.
- When solving polynomial equations, a monic form is often easier to work with.
Meaning
In mathematics, particularly in algebra, a monic polynomial is a polynomial in which the coefficient of the highest degree term is 1. This property simplifies many algebraic processes, such as polynomial division and finding roots.
Synonyms
- normalized
- unit polynomial
