SOLUTION: solve using rational zero theorum and rule of descarte: 4x^3-12x^2-11x-2=0

Question 255105: solve using rational zero theorum and rule of descarte: 4x^3-12x^2-11x-2=0
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
different ways to factor the given equation
4 x^3 = 12 x^2+11 x+2
4 x^3 = (3 x+2) (4 x+1)
(2 x+1)(2 x^2-7 x-2) = 0
the resulting graph looks a lot like a distorted sine wave near the origin then splits off one end up to the right the other first quadrant end down to the left 3 quadrant barley makes it into the second quadrant and takes dip into the 4th quadrant.
solutions
x=-1/2
x = 1/4 (7-sqrt(65))
x = 1/4 (7+sqrt(65))
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