So the Rational Zeros Theorem states that the potential zeros are ± P/Q, with P = factors of the constant and Q = factors of the leading coefficient.
In this case, the constant is -3 and the leading coefficient is 2.
With P and Q established, divide them all as such:
[tex]\pm \frac{1}{1}, \pm \frac{3}{1}, \pm \frac{1}{2}, \pm \frac{3}{2}\\\\\pm 1,\pm 3, \pm \frac{1}{2}, \pm \frac{3}{2}[/tex]
In short, your potential zeros are ± 1/2, ± 3/2, ± 1, and ± 2.
