Definition of Monomial
A Monomial is an algebraic expression containing only one term. For Example: 3xy2
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 a1/2(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, 36x2y, a, 14b are the examples of monomial.
- 8x - 1, 2x2 + 3x + 6 are not monomials.
Solved Example on Monomial
Ques: Which of the following expressions is a monomial?
B. 3x2 + 7x + 2
C. 7x + 3
D. y- 2
Correct Answer: A
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. [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.]