1. ## Determine an Equation

Determine an equation in factored for for a cubic polynomial function with zeros 0,2, and 5 that passes through the point (6,48).

My initial thought is that the equation should be:

f(x) = x(x-2)(x-5)

but I'm not sure what has to be done with the point (6,48).

2. you could include a dialation such that

$f(x) = a[x(x-2)(x-5)]$ where

$48 = a[6(6-2)(6-5)]$

Spoiler:
$48 = a[6(4)(1)]$

$48 = 24a$

$a=2$