Y=X³+12X²+36X is used to find solutions of the equation X³+12X²+36X=k for various values

The maximum point is (-6,0)

The minimum point is (-2,-32)

1) Verify the point (-8,-32) is on the graph

2) Find the number of real roots of the equation when k is:

i) 0

ii) 20

iii) -20

iv) -40

3) For what value of k does the equation have three real roots? What can you say about these roots?

any help would be fab