anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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schrodinger
  • schrodinger
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anonymous
  • anonymous
@dan815
anonymous
  • anonymous
@Loser66
anonymous
  • anonymous
SOMEONE PLEASE !!

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zzr0ck3r
  • zzr0ck3r
Guess one, and then divide by that binomial
anonymous
  • anonymous
that would be a method?
zzr0ck3r
  • zzr0ck3r
That wont help here... but yes
welshfella
  • welshfella
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
welshfella
  • welshfella
then you use factor theorem to try them out
anonymous
  • anonymous
ok so thats how i would find the zeros?
zzr0ck3r
  • zzr0ck3r
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:)
welshfella
  • welshfella
yes - that one's is heavy stuff.
zzr0ck3r
  • zzr0ck3r
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 :)
welshfella
  • welshfella
yes lol
welshfella
  • welshfella
you might try all the rational roots i mentioned and none will fit the 4 roots may be all complex
zzr0ck3r
  • zzr0ck3r
they are :(
welshfella
  • welshfella
A graphical calculator is the easiest method
welshfella
  • welshfella
yes - i just found that out on my calculator
zzr0ck3r
  • zzr0ck3r
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.
zzr0ck3r
  • zzr0ck3r
oh yeah, and a mathematician called "The Stammer"

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