Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)

Question

anonymous · Answer

f(x) = x^3 − x^2 − 12x + 9,    [0, 4]

anonymous · Answer

I verified it already. I solved it but it marks me as incorrect.

anonymous · Answer

I got:

$$x= \frac{ 1+\sqrt{37} }{ 3 }, \frac{ 1-\sqrt{37} }{ 3 }$$

anonymous · Answer

Apparently that's wrong.