Applications of Factoring

Question

The volume of a rectangular prism is represented by the expression 12x² + 20x + 8. Write an expressions to represent the length, width and height of the rectangular prism.

Answer 1

V = 12x^2 +20x + 8

= 4(3x^2 +5x +2)

= 4(3x-1)(x+2)

= hwL

height =4, width = 3x-1, Length = x+2