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Simplify a expression

  1. Sep 25, 2005 #1
    Could someone help me to simplify this expression:



  2. jcsd
  3. Sep 25, 2005 #2


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    You can start by factoring out n :smile:
  4. Sep 25, 2005 #3
    I forgot to mention that it should be in the form of:

  5. Sep 25, 2005 #4


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    Well, n is a common factor so can you start yourself?
    After that, it'll be a bit harder to find factors but still doable (by finding zeroes of the polynomial!).

    Try factoring out n yourself ?
  6. Sep 25, 2005 #5
    thanks for the fast reply!

    I have tried to get the roots (the zeros). After taking n as a common factor we have:

    " 6n^4+15n^3+10n^2-1" has 4 roots and two of them are "strange" (dont know a better word). what i mean by strange is that one is unable to write them as 1/2, 1/3 or x/y.

    the value of the root is: -1.263763........
    the other root is: 0,263763........

    does anyone know how to deal with these kind of problems
    Last edited by a moderator: Sep 25, 2005
  7. Sep 25, 2005 #6


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    If a is a zero, then you can factor out (x-a)
    Try adding up all coëfficiënts of the even powers in x and the ones of the odd powers in x, if these 2 are the same then -1 is a zero and thus, (x+1) a factor.
  8. Sep 25, 2005 #7
    Thanks TD for your very fast replies

    By taking the roots i get the simplification:


    I did not understand what u mean (i have the same powers for all x (=1), or?)
    However, can i by any method cancel the 0.263763......
  9. Sep 25, 2005 #8


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    Then, you should be able to divide your original polynomial by n(n+1) and see what's left.

    By the way, "strange" is irrational.
  10. Sep 25, 2005 #9
    I solved it!! :smile: :rofl: :rolleyes:

    if you multiply those irrational numbers you get a rational value!!!
    The simplified answer is

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