Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 289: 14



Work Step by Step

Using the Distributive Property, the given expression simplifies to \begin{align*} & (a+2)(3a^2-a+5) \\&= [a(3a^2)+a(-a)+a(5)]+[2(3a^2)+2(-a)+2(5)] \\&= [3a^3-a^2+5a]+[6a^2-2a+10] \\&= 3a^3+(-a^2+6a^2)+(5a-2a)+10 \\&= 3a^3+5a^2+3a+10 .\end{align*}
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