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Expert-verified Found in: Page 231 ### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903 # Determine whether the expression $\frac{1}{3}{x}^{3}-9y$ is a polynomial. If it is a polynomial state the degree of the polynomial.

The expression $\frac{1}{3}{x}^{3}-9y$ is a polynomial of degree 3 .

See the step by step solution

## Step 1. Write down the given information.

The given expression is $\frac{1}{3}{x}^{3}-9y$ .

## Step 2. Calculation.

The given expression $\frac{1}{3}{x}^{3}-9y$ is a polynomial in two variables $x\text{and}y$ and it has two unlike terms. It is also called binomial because of two variables. Therefore, by concept of polynomial, the given expression $\frac{1}{3}{x}^{3}-9y$ is a polynomial and it has degree 3 because of higher power to which the variable is raised.

## Step 3. Conclusion.

The expression $\frac{1}{3}{x}^{3}-9y$ is a polynomial of degree 3 . ### Want to see more solutions like these? 