Question

What are the possible polynomial expressions for the dimensions of the cuboid whose
volumes are given below
(1) 3xcube - 12x​

Answer 1

Step-by-step explanation:

volume = 3x3 - 12x

taking out common factor,

3x (x2 - 4)

x2 - 4 = a2 - b2

= (x + 2) (x-2)

Therefore the possible dimensions are 3, x, x + 2 and x-2