Question 1058359
Since the zeros are 5, -3 and -2, the factors of the polynomial are:


(x - 5), (x + 3), and (x + 2)


Setting the function equal to the product of the factors gives you:


f(x) = (x - 5)(x + 3)(x + 2)


f(x) = (x - 5)(x^2 + 5x + 6)


f(x) = x^3 + 5x^2 + 6x - 5x^2 - 25x - 30


f(x) = x^3 - 19x - 30