Find a polynomial f(x) of degree 5 such that both of these properties hold:
* f(x) is divisible by x^3
* f(x) + 1 is divisible by (x+ 1)(x + 2)(x + 3)
Write your answer in expanded form.
The answer is f(x) = -24x^5 + 40x^4 + 66x^3.
