Question

The profit earned by selling a quantity of x + 2 of a product is given by the expression x4 − x3 − 24. What is the average profit per unit of product sold?

a.x^3-3x^2+18
b.x^3-3x^2+6x-12
c.x^3-3x^2+6x- 12/x+2
d.x^3-3x^2-18
e.x^3-3x^2-18/x+2

Answer 1

(x^4-x^3-24 ) : (x+2)= x^3 -3x^2+6x-12

x^4 - x^3 - 24 | x+2
-x^4 -2x^3 x^3 -3x^2+6x-12
---------------
/ -3x^3-24
+3x^3+6x^2
----------------------
/ 6x^2-24
-6x^2-12x
---------------------------
/ -12x-24
12x+24
-------------
= =
The answer is B