The volume in cubic feet of a box can be expressed as (x)=x^3-6x^2+8x , or as the product of three linear factors with integer coefficients. The width of the box is 2 – x.

Factor the polynomial to find linear expressions for the height and the width.

Question

The volume in cubic feet of a box can be expressed as (x)=x^3-6x^2+8x , or as the product of three linear factors with integer coefficients. The width of the box is 2 – x.

Factor the polynomial to find linear expressions for the height and the width.

tkhunny · Answer

Have you considered factoring, like it says?

anonymous · Answer

i dont understand how to do that

tkhunny · Answer

$x^{3}-6x^{2}+8x $

Utilize the Distributive Property where you can.

$x(x^{2}-6x+8) $

Factor, if possible

$x(x-2)(x-4)$

You've never seen that?

One more thing.  We re TOLD that one factor is (2-x).  We don't quite have that.  A little associative property and we're done.

$x(2-x)(4-x)$