1. A mysterious box is delivered to the dinner party after everyone arrives. The label on the box says that the volume of the box is found by the function
f(x) = x3 + 3x2 – 10x – 24. To open the box, you need to identify the correct factors of f(x). Guests offer up solutions, and it is your job to find the right ones.
Their suggestions for the factors are:
o (x – 1)
o (x + 2)
o (x – 3)
o (x + 4)
o (x + 6)
List the correct factors. Then justify your selections with complete sentences.

Question

1.	A mysterious box is delivered to the dinner party after everyone arrives. The label on the box says that the volume of the box is found by the function 
f(x) = x3 + 3x2 – 10x – 24. To open the box, you need to identify the correct factors of f(x). Guests offer up solutions, and it is your job to find the right ones. 
Their suggestions for the factors are:
o	(x – 1)
o	(x + 2)
o	(x – 3)
o	(x + 4)
o	(x + 6)
List the correct factors. Then justify your selections with complete sentences.

perl · Answer

if ( x - a ) is a factor of f(x), then f (a) = 0 
so one way to test this is by evaluating f(a) 

for example  if (x-1) is a factor of f(x), then f(1) must equal to zero