Question

Which is not a possible rational zero of the function g(x) = 3x3 + 2x2 - 7x - 6?

Answer 1

There are infinitely many of them.

Are you given a list of choices?

Answer 2

All rational roots p/q will have
p is a factor of 6
q is a factor of 3

Any fraction not satisfying those conditions is not a possible rational root of g(x)