Question

The volume of a rectangular prism is represented by the function x3 + 9x2 + 6x - 16. The length of the box is x + 2 while the height is x + 8. Find the expression representing the width of the box. (2 points) . Answer: A. x - 4 B. x - 1 C. x + 1 D. x + 4

Answer 1

Your answer is either B or x - 4.

Answer 2

easy
V=LWH
V=x³+9x²+6x-16
L=x+2
H=x+8
W=?
so
x³+9x²+6x-16=(x+2)(?)(x+8)
x³+9x²+6x-16=(x+2)(x+8)(?)
x³+9x²+6x-16=(x²+10x+16)(?)
divide both sides by (x²+10x+16) or guess what ? is
(x-1)=?

width=x-1

B is answer

or you could have trial and erroed it, since you know they multiply to get the volume