For the polynomial g(x) = 3x⁴ - 2x³ - 44x² + 24x + 96, use the Rational Zeros Theorem to list all possible rational zeros of the polynomial. Then identify all roots of the polynomial.

Possible rational roots: +/-

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1/3, 2/3, 4/3, 8/3, 16/3, 32/3
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 1/2, 3/2, 1/3, 1/4, 3/4, 1/6, 1/8, 3/8, 1/12, 1/16, 3/16, 1/24, 1/32, 3/32, 1/48, 1/96
1, 3, 1/2, 3/2, 1/3, 1/4, 3/4, 1/6, 1/8, 3/8, 1/12, 1/16, 3/16, 1/24, 1/32, 3/32, 1/48, 1/96
1, 3, 1/3, 2/3, 4/3, 8/3, 16/3, 32/3

Actual zeros of the polynomial:

Hint: Remember to enter an irrational number, either use the math quill option (the up arrow to the right of the answer key) or the code sqrt(#)