Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 5 - Polynomials and Factoring - Test: Chapter 5 - Page 371: 23



Work Step by Step

We are asked to find the x intercepts. Thus, we first make sure the equation is set equal to zero and factor as necessary. Next, since there is 0 on one side of the equation, we set all of the factors equal to zero to solve. Doing this, we find: $$ 0=3x^2-5x-8\\ 0=3x\left(x+1\right)-8\left(x+1\right) \\ 0=\left(x+1\right)\left(3x-8\right) \\ x=-1,\:x=\frac{8}{3}$$
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