Question

PLEASE HELP The volume of a cube is defined by the function, V(x), where the volume is measured in cubic meters. Find a polynomial expression that represents the length of the side of the cube. V(x) =x3 - 12x2 + 48x - 64

Answer 1

we have

`V(x)=x^3-12x^2+48x-64`

we know that

The volume of a cube is equal to

`V=b^(3)`

where

b is the length side of a cube

Using a graph tool------> find the roots of the polynomial

see the attached figure

x=4

so

`x^3-12x^2+48x-64=(x-4)^(3)`

therefore

The answer is

the length side of a cube is equal to (x-4)