For the polynomial f(x) = -8x³ + 14x² + 126x + 30, use the Rational Zeros Theorem to identify all possible rational zeros of the polynomial. Then find all actual zeros of the polynomial.

Possible rational zeros: +/-

1, 2, 3, 5, 6, 10, 15, 30, 1/2, 3/2, 5/2, 15/2, 1/4, 3/4, 5/4, 15/4, 1/8, 3/8, 5/8, 15/8
1, 2, 3, 5, 6, 10, 15, 30, 1/2, 1/3, 2/3, 4/3, 8/3, 1/5, 2/5, 4/5, 8/5, 1/6, 1/10, 1/15, 2/15, 4/15, 8/15, 1/30
1, 2, 4, 8, 1/2, 1/3, 2/3, 4/3, 8/3, 1/5, 2/5, 4/5, 8/5, 1/6, 1/10, 1/15, 2/15, 4/15, 8/15, 1/30
1, 2, 3, 4, 5, 6, 8, 10, 15, 30, 1/2, 3/2, 5/2, 15/2, 1/4, 3/4, 5/4, 15/4, 1/8, 3/8, 5/8, 15/8

Actual zeros of the polynomial: