Question 137337
{{{12x^3-77x^2+91x-30=0}}}


If {{{2/3}}} is a root of the equation, then {{{x-2/3}}} is a factor of the cubic polynomial.


Use polynomial long division to divide {{{12x^3-77x^2+91x-30=0}}} by {{{x-2/3}}}.  Since {{{x-2/3}}} is a factor and you are dividing a 1st degree polynomial into a 3rd degree polynomial, the quotient will be a quadratic with no remainder.  Solve the quadratic by normal methods to obtain the two missing roots to the original equation.