Answer
$-3/2,\pm1,4$
Work Step by Step
1. List possible rational zeros $\pm1,\pm1/2,\pm2,\pm3,\pm3/2,\pm4,\pm6,\pm12$
2. Graph the function and find the zeros $-3/2,\pm1,4$
3. Compare with the list above;
4. We conclude that the rational zeros are $-3/2,\pm1,4$