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Q5.

Expert-verified

Algebra 2

Found in: Page 231

Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

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

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write down the given information.

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

Step 2. Calculation.

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

Step 3. Conclusion.

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

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