PhoenixFire
  • PhoenixFire
Factoring a cubic polynomial. \[x^3-108x^2+3564x-34992\] I haven't needed to factor a cubic in a while and have forgotten how. Any help? I know the answers, just can't get them.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
I know how to factor, but explaining it to someone is complicated. I haven't factored in so long either. I'll try to explain it. Sorry if I'm no help.. :/
maddyx
  • maddyx
http://answers.yahoo.com/question/index?qid=20080417160912AAt8IHC This could help :)
anonymous
  • anonymous
Sorry I can't help you. >_< I'm a failed Amby on my first day. :c

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anonymous
  • anonymous
\[\begin{array}{l} {x^3} - 108{x^2} + 3564x - 34992 \\ = x({x^2} - 108x + 2916) + 648(x - 54) \\ = x{(x - 54)^2} + 648(x - 54) \\ = (x - 54)({x^2} - 54x + 648) \\ = (x - 54)(x - 36)(x - 18) \\ \end{array}\]
anonymous
  • anonymous
@drawar from where did you 2916?
anonymous
  • anonymous
54^2
anonymous
  • anonymous
I know but it is not found in the original equation.
anonymous
  • anonymous
Yes but you have to bring it in, and subtract it later, that's the one and only trick when doing factorization of polynomials.
anonymous
  • anonymous
Where did you subtract it? And in which course did you take this?
anonymous
  • anonymous
3564=2916+648
anonymous
  • anonymous
I don't remember which course, I think it's common sense, no?
anonymous
  • anonymous
Can you please explain the before the last step? I don't get it, how did you reach to that point?
anonymous
  • anonymous
@drawar
anonymous
  • anonymous
Use a calculator to get 2 roots

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