A polynomial where the highest power of its single variable has a coefficient of 1

In other words:

• it is a polynomial,

• it has only one variable,

• the highest power of its variable is not multiplied by anything (so x

Examples:

x

7x

x

x

In other words:

• it is a polynomial,

• it has only one variable,

• the highest power of its variable is not multiplied by anything (so x

^{2}not 5x^{2}etc)Examples:

x

^{2}+ 3**is**monic7x

^{2}+ 3 is**not**monic (the highest power of x^{2}has a coefficient of 7, not 1)x

^{3}+ 2x^{2}+ 3**is**monic (the highest power is x^{3}, with coefficient of 1)x

^{3}+ 2y^{2}+ 3 is**not**monic (there are two variables, x and y, not one)
Copyright © 2018 MathsIsFun.com