Short-Run Behavior

Question

Find a possible formula for a fourth degree polynomial  that has a zero at x=-1 with multiplicity two and satisfies, g(-4)=0, g(3)=0, and g(0)=10.

Answer 1

a(x+4)(x-3)(x+1)^2 = 10 when x= 0

a(4(-3) = 10

a = -10/12 = -5/6

g(x) = (-5/6)(x+4)(x-3)(x+1)^2