Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - Chapters 1-9 Cumulative Review Problem Set: 22

Answer

$6x^{3}-x^{2}-13x-4$

Work Step by Step

We will expand the expression by multiplying each term of the first expression by the whole second expression. Then, we will collect similar terms to obtain: $(3x+1)(2x^{2}-x-4)$ =$3x(2x^{2}-x-4)+1(2x^{2}-x-4)$ =$6x^{3}-3x^{2}-12x+2x^{2}-x-4$ =$6x^{3}-3x^{2}+2x^{2}-x-12x-4$ =$6x^{3}-x^{2}-13x-4$
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