Chapter 3 - Polynomial and Rational Functions - 3.4 Polynomial Functions: Graphs, Applications, and Models - 3.4 Exercises - Page 352: 59

See explanations.

Step 1. Divide $f(x)$ by $x+2$ as shown in the figure. Step 2. Based on the Boundedness Theorem, as the numbers in the bottom row of the synthetic division alternate in sign, we conclude that $f(x)$ has no zero less than $-2$.