Solve the inequality: (x-3)(x+1)(x+4) ≤ 0
The three zeros divide the x-axis into four intervals. You need to state what those four intervals are.
You need to take a test value INSIDE each of these intervals and plug it into the polynomial to get a value. Then see if this value satisfies the inequality.
Your answer needs to be in interval notation and should union together each of the intervals where the inequality was true.