Question

Help with creating a polynomial function from three intersection points.

Answer 1

Information:

Points of intersection(X): 6, -2, -7
The equation i have created through using a few videos is f(x) = x^3 + 15x^3 + 68x + 84 but i don't know if this equation matches up because it does not fit the directions in the lesson.
Directions:
As one of the new roller coaster engineers, you have been tasked with developing a roller coaster that will intertwine with existing Oakville Lake Amusement Park structures. For one of the more thrilling sections, the roller coaster will dive down in-between buildings, plummet underground, pop back up, and coast over a hill before shooting back underground. There must be three distinct points where the roller coaster crosses the x–axis. Precise measurements and attention to detail are very important.

First, here is the existing map of current structures. It is important that the roller coaster does not go through the foundation of any of these structures.

Could someone help me to tell me if my equation is correct?