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)