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 - 4.5 Multiplication of Polynomials - 4.5 Exercise Set - Page 270: 96

Answer

$$=x^3+x^2-22x-40$$

Work Step by Step

In order to solve this problem, we follow order of operations. Thus, we multiply and apply exponents first, and then we add and subtract. Doing this, we find: $$\left(x+2\right)\left(x+4\right)\left(x-5\right) \\ \left(x^2+6x+8\right)\left(x-5\right)\\=x^3+x^2-22x-40$$
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