For the box to satisfy certain requirements, its length must be three meter greater than the width, and its height must be two meter less than the width.

If width is taken as x , which of the following polynomial represent volume of box ?

Options

A. `x^(2)-5x-6`
B. `x^(3)+x^(2)-6x`
C. `x^(3)-6x^(2) -6x`
D. `x^(2)+x-6`

Answer

D

Explanation

`V(x)=x(x+3)(x-2) = x(x^(2)+x-6) =x^(3) +x^(2) -6x`
Thus (d) is correct option.