Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - 2.1 Input and Output - Exercises and Problems for Section 2.1 - Skill Refresher - Page 75: S4



Work Step by Step

Using the distributive property for polynomials, the expression can be expanded to $$(x+2)(3x-8)=x(3x-8)+2(3x-8)$$ $$=3x(x) - 8x + 2(3x)-2(8)$$ $$=3x^2-8x+6x-16$$ Since $-8x$ and $6x$ are both in terms of $x$, $-8x+6x=-2x$. Thus, the expression equals $3x^2-2x-16$.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.