Question

The volume in cubic feet of a box can be expressed as v(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.

Answer 1

x(x-4)(x-2)

Answer 2

How do i factor that?

Answer 3

factor of x^3-6x^2+8x

Answer 4

x*(x^2-6x+8)....take x as common from the cubic equation

Answer 5

How? I dont know what your talking about

Answer 6

see in your given equation \[x^3+6x^2+8x= x*(x^2+6x+8)= x*(x-4)(x-2)\]

Answer 7

Em, that \(\Rightarrow\) x(x-4)(x-2) is the factored form

Answer 8

Now the equation for the volume of a cube is Voume=(Length)(Width)(Height)

Answer 9

They tell us the x-2 part is the width

Answer 10

Omg. I dont know.

Answer 11

Nevermind.

Answer 12

@EmilyJernigan done? :)

Answer 13

No. I give up.

Answer 14

he he :) wait

Answer 15

Height = x
Width = x-2
Length = x-4

Answer 16

Thank you!