Use the Rational Root Theorem to list all possible rational roots for the equation x^3+2x-9=0
According to the Rational Root Theorem, all possible rational roots of the equation x^3+2x-9=0 can be found by taking the factors of the constant term, 9, and dividing them by the factors of the leading coefficient, 1.
The factors of 9 are 1, 3, and 9.
The factors of 1 are 1, so we only need to consider positive and negative values for the roots.
Therefore, the possible rational roots of the equation are:
-1, -3, -9, 1, 3, 9.