Math problem for cubic polynomials

Question

write the cubic polynomial function f(x) in expanded form with zeros -5, -2, and 2, given that f(-1)=-24

Answer 1

f(x) = a(x+5)(x+2)(x-2)

f(-1) =a(4)(1)(-3) =-12a = -24

a=2

f(x) = 2(x+5)(x^2-4)

f(x) =2(x^3 +5x^2 -4x -20

f(x) = 2x^3 +10x^2 -8x -40