Use the rational root theorem to list all possible rational roots for the equation
x^3 + 2x - 9 = 0
The rational root theorem states that if a polynomial equation with integer coefficients has a rational root (p/q), where p and q have no common factors, then p must be a factor of the constant term (9 in this case) and q must be a factor of the leading coefficient (1 in this case).
The possible rational roots for the equation x^3 + 2x - 9 = 0 are all the possible combinations of factors of 9 (1, 3, 9, -1, -3, -9) divided by the factors of 1 (1, -1). Therefore, the possible rational roots are 1, -1, 3, -3, 9, and -9.