A Monomial is an algebraic expression containing only one term. For Example: 3xy^{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.

Video Examples: Monomials

Examples of Monomial

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

Solved Example on Monomial

Ques: Which of the following expressions is a monomial?

Choices:

A. 9xy
B. 3x^{2} + 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, 3x^{2} + 7x + 2 is not a monomial as there are three terms in the expression. [3x^{2}, 7x, and 3 are the three terms.]
Step 3: 7x + 3 is not a monomial as there are two terms in the expression. [7x and 3 are the two terms.]
Step 4: y- 2 is not a monomial as it is having a negative exponent.
Step 5: But, 9xy is a monomial as it is having only one term in the expression. [9xy is the only one term.]