Question

What are the possible polynomial expressions for the dimensions of the cuboids whose volumes are given below ?

12y² + 8y – 20

Answer 1

Given that volume = 12y² + 8y – 20 

= 4 (3y² + 2y – 5)

= 4 [3y² + 5y – 3y – 5] 

= 4 [y (3y + 5) – 1 (3y + 5)] 

= 4 (3y + 5) (y – 1) 

Hence 4, (3y + 5) and (y – 1) are the dimensions.