How do I factor a trinomial with x^3?

[jacksonbobby5]

I need help trying to factor a trinomial. It has been a while, and I can't remember how to factor a trinomial with x^3. Please help.

Sample problem...

X^3 - 4X^2 + 5

Thanks

 

[LCKurtz]

Since factoring is the same problem as finding the roots, such a cubic can always be factored using tedious methods for solving for the roots.

If you can find any root by inspection you can reduce it to a quadratic and you are home free. So I would look for rational roots which in this case will quickly find one. See

http://en.wikipedia.org/wiki/Rational_root_theorem