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B Remainder of polynomial division

  1. Dec 13, 2017 #1
    Is this true?

    If the remainder of f(x) / g(x) is a (where a is constant), then the remainder of (f(x))n / g(x) is an

    I don't know how to be sure whether it is correct or wrong. I just did several examples and it works.

    Thanks
     
  2. jcsd
  3. Dec 13, 2017 #2

    fresh_42

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    Staff: Mentor

    One way to deal with remainders is to write down what it means, which is always a good point to start at.
    Here you have ##f(x)=q(x)\cdot g(x) + a##. Now you can work with it.
     
  4. Dec 14, 2017 #3

    Delta2

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    Last edited: Dec 14, 2017
  5. Dec 14, 2017 #4
    I tried it and found out it is actually correct.

    Thanks a lot for the help
     
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