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.

Either the height is and the length is or the other way round.

Step-by-step explanation:

The volume is given in terms of x as  .

We factor the GCF to get;

.

We split the middle term of the trinomial in the parenthesis.

.

We now factor the expression within the parenthesis by grouping;

.

.

Since the width of the box is units, the linear expression for the height and length is

Either the height is and the length is or the other way round.

hello from mrbilldoesmath!

answer:

x - 3

discussion:

x^2 - 9 = (x-3) (x+3)   so

(x^2-9)/ (x + 3) = x-3

you,

mrb