Algebra 2 Common Core

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

Chapter 5 - Polynomials and Polynomial Functions - 5-5 Theorems About Roots of Polynomial Equations - Practice and Problem-Solving Exercises - Page 317: 62

Answer

$-4x^5 + 7x^3 + 13x + 2$ This is a quintic polynomial of four terms.

Work Step by Step

We rearrange the polynomial in order of descending powers, meaning the terms with the higher powers go first and the constant is last in the line-up. We rearrange the polynomial to get: $-4x^5 + 7x^3 + 13x + 2$ We look at the term with the highest degree, and we see that it is a term of the 5th degree; we call this polynomial a quintic polynomial. There are four terms in this polynomial, but there is no specific name for it, so we'll call the polynomial a quintic polynomial of four terms.
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