Question 598405: If a box and it's volume are represented by the following expression V(x)= x^3 -6x^2+12x-8, what are the expressions that represent each of its dimensions?(length, width and height)
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! 
so I would say it is a cube-shaped box with sides measuring 
You may immediately realize that it is the cube of a binomial from the formula
 as I did.
Otherwise, you would start factoring, and do a bit more work, but reach the same result.
To start factoring, you would look for a zero of the polynomial, knowing that the possible rational zeros are:
-1, 1, -2, 2, -4, 4, -8, and 8.
Once you found that 2 is a zero you would be able to factor out 
and have
The rest of the factoring would be easy.
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