Question

what are the possible polynomial expressions for dimensions of the cuboid whose volume is x cube -x​

Answer 1

The volume is x³ - x.... which means that x³ - x is a product of length, breadth and height. To find those, we need the factors of x³ - x.

x³ - x

= x(x² - 1)

= x(x² - 1²)

= x(x+1)(x-1)

So, the possible dimensions of the cuboid are length = x , breadth = x-1 and height = x+1