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Homework Help: Factors of polynomial with fractional powers

  1. Oct 13, 2005 #1
    Hi,
    I've got this particular polynomial [tex]a^{3/2}+x^{3/2}[/tex] and I need to factorize it as far as possible.
    I've come to the conclusion that there are no factors.
    Am I wrong?
     
    Last edited: Oct 13, 2005
  2. jcsd
  3. Oct 13, 2005 #2

    Fermat

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    (x + a) isn't a factor, but (√x + √a) is.
     
  4. Oct 13, 2005 #3
    Ok, that seems straightforward, but how do I go about doing polynomial division using fractional powers to find the polynomial remainder?
    Actually, nevermind. I just figured it out. Thanks for the help.
     
  5. Oct 14, 2005 #4

    Tide

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    Set [itex]x = y^2[/itex] and [itex]b = a^2[/itex] then see if anything comes to mind! :)
     
  6. Oct 14, 2005 #5
    Yeah, that's what I figured out.
    Haven't done any mathematics for a long time. Need to get the gray cells into action.
     
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