A monomial is an algebraic expression consisting of only one term. This term can be a number, a variable, or a product of numbers and variables. The variables can only have non-negative integer exponents. For example, $5x^2$, $3$, and $xy$ are monomials, while $x^{-1}$ and $x/y$ are not.
The degree of a monomial is the sum of the exponents of all the variables in the term. If the monomial is just a constant, its degree is zero. Understanding monomials and their degrees is fundamental to working with polynomials and other algebraic expressions.
Match the terms with their definitions:
| Term | Definition |
|---|---|
| 1. Monomial | A. The sum of the exponents of the variables in a monomial. |
| 2. Coefficient | B. A monomial that contains no variables. |
| 3. Degree of a Monomial | C. A number multiplied by a variable in a monomial. |
| 4. Constant | D. An algebraic expression with one term. |
Fill in the blanks with the correct terms:
A ________ is an expression with only one term. The ________ of a monomial is found by adding the exponents of the variables. The numerical factor of a monomial is called the ________.
Explain why $x/y$ is not a monomial.
Please log in to post your answer.
Log InEarn 2 Points for answering. If your answer is selected as the best, you'll get +20 Points! 🚀