list all the possible rational zeros of f(x)=3x^3-2x^2+7x+6?

Question

a. ±1,±2,±3,±6
b. 0, ±1,±2,±3,±6,±1/3, ±2/3
c. ±1,±2,±3,±6, ±1/3, ±2/3
d. ±1,±3,±1/6, ±1/3, ±1/2, ±3/2

Answer 1

The possible rational zeros are ± p/q, where p represents factors of the constant term and q represents factors of the coefficient of the leading term (the term with the highest degree).
Here p = 6 and q = 3
factors of 6 are 1, 2, 3 and 6
factors of 3 are 1 and 3
All possible combinations of p/q are
±1,±2,±3,±6, ±1/3, ±2/3

Answer 2

use p and q s check in a trigonometry book