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For the polynomial g(x) = 2x⁴ - 5x³ - 39x² + 90x + 54, 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, 6, 9, 18, 27, 54, 1/2, 1/3, 2/3, 1/6, 1/9, 2/9, 1/18, 1/27, 2/27, 1/54
1, 2, 3, 6, 9, 18, 27, 54, 1/2, 3/2, 9/2, 27/2, 1/3, 2/3, 1/6, 1/9, 2/9, 1/18, 1/27, 2/27, 1/54
1, 2, 1/2, 1/3, 2/3, 1/6, 1/9, 2/9, 1/18, 1/27, 2/27, 1/54
1, 2, 3, 6, 9, 18, 27, 54, 1/2, 3/2, 9/2, 27/2

List all the zeros (real or complex) 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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