According to the Rational Root Theorem, which of the following is the complete list of possible rational roots for the equation $2x^3 + 7x^2 - 4x + 3 = 0$?

$\pm 1, \pm 3, \pm \frac{1}{2}, \pm \frac{3}{2}$

$\pm 1, \pm 2, \pm \frac{1}{3}, \pm \frac{2}{3}$

If $\frac{p}{q}$ is a rational root of the polynomial $a_n x^n + \dots + a_0 = 0$ with integer coefficients, which statement must be true by the Rational Root Theorem?

$p$ is a factor of $a_n$ and $q$ is a factor of $a_0$.

$p$ is a factor of $a_0$ and $q$ is a factor of $a_n$.

$p$ must always be a smaller number than $q$.

The polynomial must have at least one rational root.