How can I factor a cubic equation?

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    Cubic Factoring
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Homework Statement



g(x)= x^4-2x^3-3x^2+2x+2

Homework Equations





The Attempt at a Solution



After using synthesized division, got
x^3-x^2-4x-2

I need help in factoring from here please
 
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The reason for the choice of the factors above are from the http://en.wikipedia.org/wiki/Rational_root_theorem" , in case you were wondering.
 
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Thank you for the help!