Use the Rational Zero Theorem to list all possible rational zeros for the given function
f(x)=3x^4+3x^3+15x^2-15x-6
The possible rational zeroes are
± [ all the factors of 6 ] / [ all the factors of 3 ] =
Factors of 6 = 1,2,3,6
Factors of 3 = 1,3
So we have these
± [ 1/1, 2/1 , 3/1, 6/1, 1/3, 2/3 ] =
± [ 1/3, 2/3 , 1 , 2, 3, 6 ]
+318 
