Algebra Assignment

The volume of a rectangular prism is given by the formula V = lwh (length•width•height). What are the length, width, and height of the prism if the volume is 3x³+ 9x² + 6x? Your answer will not have exact numeric dimensions but rather three algebraic terms that represent them.

 To earn full credit, show how you solved the problem by using correct mathematical symbols and by explaining thoroughly in words each step.