**Definition of Monomial**

- A Monomial is an algebraic expression containing only one term. For example:3
*x**y*^{2}

**More about Monomial**

- A monomial can be a constant number or a variable expression.
- A monomial should not have negative and fractional exponents.

**Example:***a*- 2 and*a*^{1/2}(are not monomials.) - A monomial multiplied by a monomial is also a monomial.
- A monomial multiplied by a constant is also a monomial.

**Examples of Monomial**

- 5,
*xy*, 36*x*2*y*,*a*, 14*b*are the examples of monomial. - 8
*x*– 1, 2*x*2 + 3*x*+ 6 are not monomials.

**Solved Example on Monomial**

Which of the following expressions is a monomial?

Choices:

A. 9xy

B. 3x2 + 7x+ 2

C. 7x+ 3

D.y- 2

Correct Answer: A

Solution:

Step 1:A monomial is an algebraic expression with only one term.

Step 2:Here, 3x2 + 7x+ 2 is not a monomial as there are three terms in the expression. [3x2, 7x, and 3 are the three terms.]

Step 3:7x+ 3 is not a monomial as there are two terms in the expression. [7xand 3 are the two terms.]

Step 4:y- 2 is not a monomial as it is having a negative exponent.

Step 5:But, 9xyis a monomial as it is having only one term in the expression. [9xyis the only one term.]

**Related Terms for Monomial**

- Algebraic Expression
- Constant
- Polynomial
- Term