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Help Yet Again

  1. Oct 5, 2003 #1
    OK, problem with this equation:

    x^4 + 2x^2 + x + 2 = 0

    What is/are the solution(s)? I can't figure out how to factor this so that I can find the zeros or whatever...
     
  2. jcsd
  3. Oct 5, 2003 #2

    Integral

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    Hint: It has no Real zeros.
     
  4. Oct 6, 2003 #3
    it is possible to factor it over the integers.

    suppose you have a polynomial P of degree p. you want to factor it as P = Q R where Q and R are polynomials. consider the different degrees Q and R might have if p = 4 as in your case. this consideration will direct the trials and errors when looking for Q and R.
     
  5. Oct 6, 2003 #4
    How can I prove that I have no zeros?
     
  6. Oct 6, 2003 #5
    that'll be clear once you factor it.
     
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