Question

A shipping box in the shape of a rectangular prism has a volume of 12x^3+32x^2+20x. What are the possible dimesions of the box?

Answer 1

\[12 x^3+32 x^2+20 x=4 x (x+1) (3 x+5) \]\[\{4 x,x+1,3 x+5\}\text{/.}\, x\to 1 \]\[\{4,2,8\} \]