monomial


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.

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

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. [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.]

Related Terms for Monomial

  • Algebraic Expression
  • Constant
  • Polynomial
  • Term