Math, pre-algebra

The volume of a rectangular prism is 6x^3 -x^2 -2x. Which model could represent the rectangular prism?

A. Height: 3x-2 Length: 2x+1 Width: x

B. Height: 3x+2 Length: 2x-1 Width: x

C. Height: 3x-2 Length: 2x-1 Width: x

D. Height: 2x-2 Length: 3x+1 Width: x

I don't understand how to do the problem, I would appreciate if someone could explain the steps. Thank you!

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  1. since V = length(width)(height)

    6x^3 - x^2 - 2x must be the product of 3 factors.
    the first one is obvious, a common factor of x

    = x(6x^2 - x - 2)
    and the quadratiac factors to ((2x+1)(3x-2)

    so which one fits ?

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