SOLUTION: After 30 yrs I am "back at it". I need your help using the rational zero theorem, Decartes's rules of signs and theorem on bounds to find all of the real and imaginary roots to 6x^

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: After 30 yrs I am "back at it". I need your help using the rational zero theorem, Decartes's rules of signs and theorem on bounds to find all of the real and imaginary roots to 6x^      Log On


   



Question 55888This question is from textbook college algebra
: After 30 yrs I am "back at it". I need your help using the rational zero theorem, Decartes's rules of signs and theorem on bounds to find all of the real and imaginary roots to 6x^3-11x^2-46x-24=0. So far I have found that 4 is a root. Thank for taking the time to help. This question is from textbook college algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If 4 is a root divide the polynomial by x-4 to find
the quadratic quotient. Then use the quadratic
formula on the quadratic to find the remaining two
roots.
Cheers,
Stan H.