hey can someone remind me how you get the factors of something like this:
-x^3 + 5x^2 - 5x - 24 = 0
thank you for your help, its been so long since idone these i tried googling but could not find a systematic approach,
If this has rational roots (and so nice factors) by the rational root theorem the roots are amoung the factors of 24, so try +/11, +/-2, +/-3, +/-4, +/-6, +/-8, +/-12. If none of these are roots then it has no rational roots and so no linear factors with integer coefficients.
(As it happens none of these are roots and so this cubic has no nice factors, but it does have exactly one real root)
You can find the root algebraicaly by using the Cardano-Tartaglia cubic formula, though you will probably be better off solving for the real root numerically
CB