Question

If you're good with algebra 2 ill give a medal

Answer 1

@ganeshie8

Answer 2

A polynomial that has the zeroes x1,x2,x3...xn.
has the form
f(x)=a(x-x1)(x-x2)(x-x3)...(x-xn)
So form your polynomial accordingly.
The value of a depends on the depths of the foundations, as well as the widths of the buildings (which are not given).
The sign of a decides whether the roller coaster goes underneath or above the buildings, something a plot of the function will reveal.
If the roller coaster goes above the buildings, we need the height and widths of the buildings to act as constraints (not given).
I am unable to see the details of the coordinates of the buildings. With your original document, you are in a better position to decipher them.

Answer 3

@ganeshie8 please help :)

Answer 4

Thank you for posting the detailed "map".
I think it is your turn to do something.
Hint: if the roller-coaster is not to get under foundations, the parameter a
in f(x)=a(x+7)(x+2)(x-6) should be negative.