Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 3 - Exponents, Polynomials and Functions - Chapter Review Exercises - Page 287: 36

Answer

$(a)f(x)+g(x)=2x+11$ $(b)f(x)-g(x)=10x-5$ $(c)f(x)g(x)=-24x^2+36x+24$

Work Step by Step

$(a)f(x)+g(x)$ $=6x+3+(-4x+8)$ $=6x+3-4x+8$ $=6x-4x+3+8$ $=2x+11$ (b) $f(x)-g(x)$ $=6x+3-(-4x+8)$ $=6x+3+4x-8$ $=6x+4x+3-8$ $=10x-5$ $(c)f(x)g(x)$ $=(6x+3)(-4x+8)$ $=6x(-4x+8)+3(-4x+8)$ $=-24x^2+48x-12x+24$ $=-24x^2+36x+24$
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