SOLUTION: Find all the roots by using synthetic division and possible rational root theorem F(x) = 2x^3-9x^2+9x-13 I have tried to do this multiple times but I can't figure it out and it

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Question 596268: Find all the roots by using synthetic division and possible rational root theorem
F(x) = 2x^3-9x^2+9x-13
I have tried to do this multiple times but I can't figure it out and it seems that 2 of the answers are imaginary and the third answer is 3.763194
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find all the roots by using synthetic division and possible rational root theorem
F(x) = 2x^3-9x^2+9x-13
graph%28400%2C400%2C-10%2C10%2C-20%2C20%2C2x%5E3-9x%5E2%2B9x-13%29
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I graphed the cubic and found:
Rational Root: 3.763194
There are also 2 imaginary roots.
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Cheers,
Stan H.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!


It has no rational roots.  

You can only use technology or iterative means to find

the irrational root you found 3.763194021



and the two irrational complex roots:



.368403 ± 1.26156i



No doubt there was a typo in one of those coefficient.

Sometimes there are errors in books and computer material.



F(x) = 2x^3-9x^2+9x-3



Edwin