Question

A shipping box in the shape of a rectangular prism has a volume of 18x^3+5x^2-2x. what are three expressions that can represent possible dimensions of the shipping box?

Answer 1

`(x), (9x-2), (2x+1)`

Explanation:

`18x^3+5x^2-2x=x(18x^2+5x-2)=x(9x-2)(2x+1)`

Answer 2

Volume of the prism is given by:
Volume=length×width×height
but
V=18x^3+5x^2-2x
V=x(18x^2+5x-2)
V=x(9x-2)(2x+1)
Hence the possible expression for the dimensions of the shipping box is x by (9x-2) by (2x+1)