## Calculus with Applications (10th Edition)

$2x^3-14x^2+12x\lt0$ $2x(x^2-7x+6)\lt0$ $2x(x-1)(x-6)\lt0$ $x\lt0$ and $1\lt x\lt6$
Step 1: Factorize inequality (common factor: $2x$) Step 2: Factorize expression inside brackets (trinomial) Step 3: The function is smaller than $0$ for $x\lt0$ and $1\lt x\lt6$