Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - 4.4 Addition and Subtraction of Polynomials - 4.4 Exercise Set - Page 261: 76

Answer

No

Work Step by Step

There are many ways for the sum of two trinomials not to be a trinomial. For instance, consider two trinomials that are identical, except their leading terms are opposites. If this occurs, the leading terms will cancel while the other like terms will be combined, resulting in a binomial.
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