Mastering Factoring 3rd Degree Polynomials: x^3+6x^2-12x+8=0

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-x^3+6x^2-12x+8=0




The Attempt at a Solution



- this is actually part of an eigenvalue problem, but I can't seem to remember how to factor 3rd degree polynomials. Any thing to help me remember would be great.
 
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well by investigation we can see that 2 is a root of that equation, now can u perform synthetic division, or divide that polynomial by (x-2).