Calculus with Applications (10th Edition)

Published by Pearson
ISBN 10: 0321749006
ISBN 13: 978-0-32174-900-0

Chapter R - Algebra Reference - R.5 Inequalities - R.5 Exercises - Page R-21: 42


$3x^3-9x^2-12x\gt0$ $3x(x^2-3x-4)\gt0$ $3x(x+1)(x-4)\gt0$ $-1\lt x\lt0$ and $4\lt x$

Work Step by Step

Step 1: Factorize inequality (common factor $3x$) Step 2: Factorize expression inside brackets (trinomial) Step 3: The function will be greater than $0$ for $-1\lt x\lt0$ and $4\lt x$
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