Determine the equation of the member of the family of functions with zeros at 2 (order 2), 3 (order 2) and 4 (order 1) that passes through the point 1, 36. Show step-by-step calculations.

Answer 1

y = a(x-2)^2 (x-3)^2 (x-4)
plug in the point (1,36) to find a

36 = a(-1)^2 (-2)^2 (-3)

continue