SOLUTION: Use the rational zero theorem to list all possible rational zeros for the given function. F(x)=22x^5-20x^4+17x^3-8x^2-9x+1

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Question 756616: Use the rational zero theorem to list all possible rational zeros for the given function.
F(x)=22x^5-20x^4+17x^3-8x^2-9x+1
Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
I don't know how the rational zero theorem does anything to find the roots of this function, but I do know that you need a computer or take many hours on a calculator to find the roots. It took me about an hour to find one real factor
(1) (x - 0.10346235)
Now you need to divide the given fifth order polynomial by (1) to get a fourth order polynomial.
I don't think I have enough time to do that!
Once we get the fourth order equation, we repeat what I did to get (1). However there is no guarantee that the other roots are real. They may be two sets of complex pairs. There is a method of factoring the even order polynomial into quadratics, however I forgot the name of it (maybe Chang?).
Good luck.