Possible rational zeroes for polynomial

F(x)=3x^3+3x^2+2x-6

I didn't find any rational zeros. I know it crossed the y-axis somewhere, but can't factor out the zeros.

>>7
Rational roots test is useless.

(x-1/2)(x-2) = x^2 - 5/2x + 1

But rational roots test gives the only possible rational solution as x = 1, so obviously doesn't give all of them.