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For the polynomial g(x) = 3x⁴ - x³ - 85x² + 27x + 108, 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, 9, 12, 18, 27, 36, 54, 108, 1/3, 2/3, 4/3
1, 3, 1/3, 2/3, 4/3
1, 3, 1/2, 3/2, 1/3, 1/4, 3/4, 1/6, 1/9, 1/12, 1/18, 1/27, 1/36, 1/54, 1/108
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 1/2, 3/2, 1/3, 2/3, 4/3, 1/4, 3/4, 1/6, 1/9, 1/12, 1/18, 1/27, 1/36, 1/54, 1/108

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(#)

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