Use the rational root theorem to list all possible rational roots for equation
3x^3 + 9x - 6 = 0
The rational root theorem states that if a polynomial equation has a rational root of the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient, then p/q will be a root of the equation.
For the equation 3x^3 + 9x - 6 = 0, the leading coefficient is 3 and the constant term is -6.
Factors of the constant term -6: ±1, ±2, ±3, ±6
Factors of the leading coefficient 3: ±1, ±3
Possible rational roots: ±1/1, ±2/1, ±3/1, ±6/1, ±1/3, ±2/3, ±3/3, ±6/3
Simplified possible rational roots: ±1, ±2, ±3, ±6, ±1/3, ±2/3, ±1, ±2