For a polynomial function , the possible rational zeros are of the form , where is a factor of the constant term and is a factor of the leading coefficient .
For , the leading coefficient is 3 and the constant term is -27.
The factors of 3 are .
The factors of -27 are .
So the possible rational zeros are , where is a factor of -27 and is a factor of 3.
The possible values for are .
The possible values for are .
Dividing each value of by each value of gives us:
For and , we get .
For and , we get .
For and , we get .
For and , we get .
For