Ask Question
29 December, 23:54

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.

+3
Answers (1)
  1. 30 December, 02:48
    0
    Volume of the vox: V (x) = x^3-6x^2+8x

    V (x) = W (x) H (x) L (x)

    Width: W (x) = x-2

    Height: H (x) = ?

    Length: L (x) = ?

    Factoring the equation of Volume:

    V (x) = x^3-6x^2+8x

    Common factor x:

    V (x) = x (x^3/x-6x^2/x+8x/x)

    V (x) = x[x^ (3-1) - 6x^ (2-1) + 8]

    V (x) = x (x^2-6x+8)

    V (x) = x (x-2) (x-4)

    V (x) = W (x) H (x) L (x)

    We know that W (x) = x-2

    Then we have two options for H (x) and L (x):

    1) First option: L (x) = x and H (x) = x-4

    or

    2) Second option: L (x) = x-4 and H (x) = x
Know the Answer?
Not Sure About the Answer?
Get an answer to your 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 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers