Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - 4.8 Use the Quadratic Formula and the Discriminant - 4.8 Exercises - Skill Practice - Page 296: 28



Work Step by Step

Solving the equation using the quadratic formula, we find: $$x_{1,\:2}=\frac{-57\pm \sqrt{57^2-4\cdot \:45\left(-4\right)}}{2\cdot \:45} \\ x=\frac{1}{15},\:x=-\frac{4}{3}$$ Checking by factoring the expression, we find: $$3x\left(15x-1\right)+4\left(15x-1\right) \\ \left(15x-1\right)\left(3x+4\right)$$
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