Find all roots of the polynomial \(2x^3 - 3x^2 - 23x + 30\) using the Rational Root Test (RRT).

Step 1 ：Step 1: Use the Rational Root Test (RRT) to list all possible rational roots. According to the RRT, if a polynomial has a rational root \(p/q\), where \(p\) and \(q\) are integers with \(q\ne 0\), then \(p\) is a factor of the constant term (30) and \(q\) is a factor of the leading coefficient (2). So, the possible rational roots are: \(\pm 1, \pm 2, \pm 3, \pm 5, \pm 6, \pm 10, \pm 15, \pm 30, \pm 1/2, \pm 3/2, \pm 5/2, \pm 15/2\).

Step 2 ：Step 2: Use synthetic division or the Remainder Theorem to test each possible root. We find that \(x = 2, -3/2, 5\) are roots of the polynomial.

Step 3 ：Step 3: Verify the roots by substituting them back into the original polynomial. It is found that they satisfy the polynomial equation.