Question

The volume of a swimming pool is 4x^3 - 20x^2 + 3x - 15 . what is one of the dimensions of the pool

Answer 1

`Height = x - 5` --- one of the dimension

Explanation:

Given

`Volume = 4x^3 - 20x^2 + 3x - 15`

Required

The side dimension

Factorize the given expression

`Volume = 4x^2 (x- 5) + 3(x - 5)`

Factor out x - 5

`Volume = (4x^2 + 3)(x - 5)`

Volume is the product of base area and height'

Hence:

`Area = 4x^2 + 3`

`Height = x - 5`