Q5. - Algebra 2

Question

Determine whether the expression  $\frac{1}{3}{x}^3-9y$ is a polynomial. If it is a polynomial state the degree of the polynomial.

Step-by-Step Solution

Answer

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

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 .