Monomial
Related Words
Definition of Monomial
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. 9xyB. 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.]
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