If m is a real number and \(x^2 + mx + m\) has two distinct real roots, then what are the possible values of m? Express your answer in interval notation.
The quadratic polynomial has two distinct real roots. That means the discriminant must be positive.
\(\Delta > 0\\ m^2 - 4(1)(m) > 0\\ m^2 - 4m > 0\\ m > 4\text{ or }m < 0\)
Can you write that inequality in interval notation?
