Monomial

Definition

Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial. The degree of a monomial is the sum of the exponents of all the variables.

Let us consider an expression $8xy^{2}$. The variables, the coefficient, and the degree of this monomial are shown in the table given below.

The variables are the letters present in the monomial	Variables	$x,y$
The coefficient is the number that is multiplied by the variables.	Coefficent	$8$
The degree is the sum of the exponents of the variables in a monomial. The exponent of $x$ is $1$, and the exponent of $y$ is $2$, so the degree is $2+1=3$	Degree	$3$

Identification of a Monomial

A monomial can be easily identified with the help of the following properties:

• A monomial expression must have a single non-zero term.
• The exponents of the variables must be non-negative integers.
• There should not be any variable in the denominator.

Examples of Monomial

• $12x$
• $xy$
• $x^{2}$