How do you solve the polynomial inequality and state the answer in interval notation given #(x^3+2x^2)/2<x+2#?
Multiply both sides by
Factor by extracting a common factor twice.
If you rewrite as an equation, you get zeroes of
Now, select test points.
Test point 1: x = -3
This is absolutely true.
Repeat this process in the following intervals:
Hopefully this helps!