Another 3rd degree polynomial question

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SUMMARY

The discussion centers on solving the cubic polynomial equation -x^3 - 5x^2 + 135x - 150, which is part of an eigenvalue problem. Participants emphasize the need to factor the polynomial to determine the eigenvalues effectively. One user suggests that conventional methods for solving polynomials may not apply in this case and recommends rechecking the problem setup. A resource link is provided for further assistance in factoring polynomials.

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  • Understanding of cubic polynomial equations
  • Knowledge of eigenvalues and eigenvectors
  • Familiarity with polynomial factoring techniques
  • Basic algebra skills
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  • Study methods for factoring cubic polynomials
  • Learn about eigenvalue problems in linear algebra
  • Explore online resources for polynomial equations, such as the provided link
  • Practice solving similar cubic polynomial equations
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Students and professionals in mathematics, particularly those studying linear algebra, as well as anyone needing to solve cubic polynomial equations in the context of eigenvalue problems.

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-x^3-5x^2+135x-150





The Attempt at a Solution



- I'm still having a hard time remembering how to do 3rd degree polynomials. If somebody could explain this to me, that would be great. This is actually part of an eigenvalue problem and I need to factor it so I can get my eigenvalues.
 
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Are you sure that is the correct polynomial you got? You should either post the eigenvalue/vector problem or re-check your work. As the "normal" methods you would use to solve a polynomial will not work for that one.

(Really really not nice answers!)

But anyhow to really answer your question what you need is http://library.thinkquest.org/C0110248/algebra/remfactintro.htm
 
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Let me go back and rework the problem. It's very possible I screwed my math up...seem to be doing that a lot tonight.
 

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