Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises: 16

Answer

$4z^3-10z^2-26z-10$

Work Step by Step

Using the Distributive Property, the product of the given expression, $ (4z+2)(z^2-3z-5) ,$ is \begin{array}{l}\require{cancel} 4z(z^2)+4z(-3z)+4z(-5)+2(z^2)+2(-3z)+2(-5) \\\\= 4z^3-12z^2-20z+2z^2-6z-10 \\\\= 4z^3+(-12z^2+2z^2)+(-20z-6z)-10 \\\\= 4z^3-10z^2-26z-10 .\end{array}
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