SOLUTION: I am extremely confused. I thought I understood how to do this but I don't. Please show all work and your answers so that I can better grasp the concepts. The volume in cubic f

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I am extremely confused. I thought I understood how to do this but I don't. Please show all work and your answers so that I can better grasp the concepts. The volume in cubic f      Log On


   

Question 612444: I am extremely confused. I thought I understood how to do this but I don't. Please show all work and your answers so that I can better grasp the concepts.
The volume in cubic feet of a workshop's storage chest is expressed as the product of its three dimensions- V(x)=x^3-3x^2-x+3. The depth is x+1. 1)Find the linear expressions with integer coefficients for the other dimensions, 2)the depth of the chest is 6 feet what are the other dimensions?
Thanks for the help
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
dividing the volume by the depth ___ (x^3-3x^2-x+3) / (x+1) = x^2 - 4x + 3

factoring the result gives the other dimensions ___ (x - 3)(x - 1)

use the depth information to find x, then solve for the other dimensions