Let p be a function that is differentiable on the interval [0,3] and whose derivative is given by p′(x)=(x−1)(x−2). Which of the following sets contains all x-values that must be evaluated to determine the absolute extrema of p on [0,3]?
a) \{1,2\}
b) \{0,3\}
c) \{0,1,2,3\}
d) \{0,1,3\}