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anonymous

  • one year ago

PLEASE HELP!!!! PLEASEEE!! What are all methods to finding zeros and factors of higher degree polynomial functions? Use f(x)=3x^4+2x^3-x^2+6x+8 to explain

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  1. anonymous
    • one year ago
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    @dan815

  2. anonymous
    • one year ago
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    @Loser66

  3. anonymous
    • one year ago
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    SOMEONE PLEASE !!

  4. zzr0ck3r
    • one year ago
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    Guess one, and then divide by that binomial

  5. anonymous
    • one year ago
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    that would be a method?

  6. zzr0ck3r
    • one year ago
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    That wont help here... but yes

  7. welshfella
    • one year ago
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    I'm not sure about all the methods . This is equation of 4th degree so there are 4 roots The rational root theorem will give you an idea about the possible roots. You multiply the first coefficient by the last - in this case its 3*8 = 24 so the possible roots are factors of 24 +-/1 , +/- 2 , +/-3,+/- 4,+/- 6 , +/- 8 , +/- 12

  8. welshfella
    • one year ago
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    then you use factor theorem to try them out

  9. anonymous
    • one year ago
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    ok so thats how i would find the zeros?

  10. zzr0ck3r
    • one year ago
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    There is a general solution for 4th degree polynomials, but nothing higher. It is not fun but you can read about it. Set aside some time:)

  11. welshfella
    • one year ago
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    yes - that one's is heavy stuff.

  12. zzr0ck3r
    • one year ago
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    http://math.stackexchange.com/questions/785/is-there-a-general-formula-for-solving-4th-degree-equations read this to get an idea of how annoying it is, and why we invented calculators :)

  13. welshfella
    • one year ago
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    yes lol

  14. welshfella
    • one year ago
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    you might try all the rational roots i mentioned and none will fit the 4 roots may be all complex

  15. zzr0ck3r
    • one year ago
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    they are :(

  16. welshfella
    • one year ago
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    A graphical calculator is the easiest method

  17. welshfella
    • one year ago
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    yes - i just found that out on my calculator

  18. zzr0ck3r
    • one year ago
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    I would use wolframalpha or a calculator and while you save time on doing a bunch of calculations and depressing cubics...you can learn about the history of the general formulas to the cubic and 4th degree polynomials. The history is fascinating and has stealing, cheating, lying, throwing bottles, and general greatness.

  19. zzr0ck3r
    • one year ago
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    oh yeah, and a mathematician called "The Stammer"

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