College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 5 - Section 5.4 - Polynomial and Rational Inequalities - 5.4 Assess Your Understanding - Page 373: 24



Work Step by Step

$3x^3\lt-15x^2\\3x^3+15x^2\lt0\\3x^2(x+5)\lt0$ We know that $(x-k)^2\geq0$ for all $k$. So here for the inequality to be true, $x+5\lt0\\x\lt-5$ So the solution is $x\lt-5$
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