How can I factor a cubic equation?

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    Cubic Factoring
AI Thread Summary
To factor the cubic equation g(x) = x^4 - 2x^3 - 3x^2 + 2x + 2, synthesized division was used to reduce it to x^3 - x^2 - 4x - 2. The next step involves testing binomial divisors such as (x+1), (x-1), (x+2), and (x-2) based on the Rational Root Theorem. The user seeks assistance in further factoring the cubic expression. Continued exploration of potential roots is essential for successful factorization. The discussion emphasizes the importance of systematic testing of factors in polynomial equations.
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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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I would try binomial divisors of (x+1), (x-1), (x+2), and (x-2).
 
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!
 

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