Let f(x) be a cubic polynomial with real coefficients. Suppose that f(x) has exactly one real root and that this root is simple. Which one of the following statements holds for ALL antiderivatives F(x) of f(x)?
1
F(x) has exactly one real root.
2
F(x) has exactly four real roots.
3
F(x) has at most two real roots.
4
F(x) has at most one real root.