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