Question

A mysterious box is delivered to the dinner party you are attending. The label on the box says that the volume of a box is the function f(x) = x3 + 3x2 – 10x – 24. To open the box, you need to identify the correct factors of f(x). Party-goers offer up solutions, and it is your job to find the right ones.

Their suggestions are:

(x – 1)
(x + 2)
(x – 3)
(x + 4)
(x + 6)
(x – 12)
List the correct factors. Then justify your selections with complete sentences.