Question

What are the possible polynomial expressions for dimensions of the cuboid whose volume is x³ – x ?

Answer 1

Volume of cuboid = x³ – x 

By splitting x³ – x as factors 

x³ – x = x(x² – 1) = x(x + 1) (x – 1) 

Possible dimensions of cuboid are x, (x + 1) and (x – 1)