Answer the following questions about the equation below.
$12x^3 - 67x^2 + 36x - 5 = 0$
(a) List all rational roots that are possible according to the Rational Zero Theorem. Choose the correct answer below.
A. $\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 12, \pm \frac{1}{5}, \pm \frac{2}{5}, \pm \frac{3}{5}, \pm \frac{4}{5}, \pm \frac{6}{5}, \pm \frac{12}{5}$
B. $\pm 1, \pm 5$
C. $\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 12$
D. $\pm 1, \pm 5, \pm \frac{1}{2}, \pm \frac{5}{2}, \pm \frac{1}{3}, \pm \frac{5}{3}, \pm \frac{1}{4}, \pm \frac{5}{4}, \pm \frac{1}{6}, \pm \frac{5}{6}, \pm \frac{1}{12}, \pm \frac{5}{12}$
