Answer:
Below.
Step-by-step explanation:
In factor form this is:
f(x) = a(x + 3)(x + 1)(x - 2) where a is a number to be found.
As it passes through (3, 6) we have:
6 = a(3 + 3)(3 + 1)(3 - 2)
24a = 6
a = 1/4.
So f(x) = 1/4(x + 3)(x + 1)(x - 2)
In general form this is:
f(x) = 1/4 x^3 + 1/2 x^2 - 5/4 x - 3/2
