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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## More answers

- zzr0ck3r

Guess one, and then divide by that binomial

- anonymous

that would be a method?

- zzr0ck3r

That wont help here... but yes

- 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

then you use factor theorem to try them out

- anonymous

ok so thats how i would find the zeros?

- 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

yes - that one's is heavy stuff.

- 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

yes lol

- welshfella

you might try all the rational roots i mentioned and none will fit
the 4 roots may be all complex

- zzr0ck3r

they are :(

- welshfella

A graphical calculator is the easiest method

- welshfella

yes - i just found that out on my calculator

- 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

oh yeah, and a mathematician called "The Stammer"

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