Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 5 - Polynomials and Polynomial Functions - 5-7 The Binomial Theorem - Practice and Problem-Solving Exercises - Page 330: 66

Answer

$2x^3 + 5x^2 - x + 9$; $\text{cubic polynomial of four terms}$

Work Step by Step

To figure the degree of a polynomial, we look to the term with the highest power. Let's rewrite this expression in standard form, or in terms of descending powers: $2x^3 + 5x^2 - x + 9$ In this polynomial, the term $2x^3$ has the highest power. A third degree polynomial can be called "cubic." There are four terms in this polynomial, with the highest term being cubic, so we call it a cubic polynomial of four terms. There is no special name for a polynomial with more than three terms.
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