SOLUTION: 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 x-2. Factor t

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 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 x-2. Factor t      Log On


   

Question 1022237: 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 x-2.
Factor the polynomial to find linear expressions for the height and the length. Show your work.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%5E3-6x%5E2%2B8x
f%28x%29=%28x%5E2-6x%2B8%29x

f%28x%29=%28x%5E2-2x-4x%2B8%29x
f%28x%29=%28%28x%5E2-2x%29-%284x-8%29%29x

f%28x%29=%28x%28x-2%29-4%28x-2%29%29x
f%28x%29=%28x-4%29%28x-2%29x+
the length is x
and the height is x-4