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Math Help - Exponents

  1. #1
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    Question Exponents

    x^11 + 1 divided by x + 1. What will be the remainder? How to do it?

    Thanks,

    Ron
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  2. #2
    Master Of Puppets
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    If you use long division you should get \displaystyle \frac{x^{11}+1}{x+1} = x^{10}-x^9+x^8-\dots +1
    Last edited by pickslides; February 13th 2011 at 01:19 PM. Reason: Bad Latex..
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  3. #3
    Member rtblue's Avatar
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    When you divide any degree polynomial and want to find the remainder, use the remainder theorm.

    Set what you are dividing by to 0.

    x+1=0 x=-1

    Substitute -1 into x^11+1, and what you get is the remainder.
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