SOLUTION: hallar el dominio de la raiz de 6x^3-5x^2-2x+1

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Question 716310: hallar el dominio de la raiz de 6x^3-5x^2-2x+1
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
You can find by division that x-1 is one of the binomial factors. After that, you have %28x-1%29%286x%5E2%2Bx-1%29, and the quadratic factor will not have rational roots.

That quadratic, by using quadratic formula solution, gives
x=-1%2F12-%281%2F12%29i%2Asqrt%2823%29+
or
x=-1%2F12%2B%281%2F12%29i%2Asqrt%2823%29


In Summary: Two of the roots are complex as well as irrational, and one root is rational and Real.