College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Section 5.1 - Polynomial Functions and Models - 5.1 Assess Your Understanding: 17

Answer

It is a polynomial. Degree: 3 Leading term: $x^3$ Constant term: 0

Work Step by Step

By definition, a polynomial is a function containing only terms where x is raised to a power or constants. x is raised to the third power, and x is raised to the first power in the term $4x$, so we see that it is a polynomial. The degree is equal to the exponent of the term with the highest exponent, so the degree is 3. The term that has the highest degree, $x^3$, is always the leading term. Finally, there are no constants listed, so the constant is 0.
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