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Dividing one polynomial by another!

  1. Sep 5, 2011 #1
    [tex]\frac{r^3+3r^2+4r-8}{r-1}[/tex]

    how do i solve that?

    and is there a general formula?

    thanks!!

    Edit by bored Borek: LaTeX corrected.
     
    Last edited by a moderator: Sep 6, 2011
  2. jcsd
  3. Sep 5, 2011 #2
    r goes into r3 how many times?
     
  4. Sep 5, 2011 #3

    eumyang

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    Homework Helper

    There is polynomial long division, which is what sjb-2812 is hinting. Synthetic division is also possible in this problem. Look both of them up.
     
  5. Sep 5, 2011 #4

    Mark44

    Staff: Mentor

    Fixed your LaTeX. The SUP tags inside the itex tags were causing it to not render correctly, I believe.
    [itex]\frac{r^3+3r^2+4r-8}{r-1}[/itex]
     
  6. Sep 5, 2011 #5
    R goes it's r^3 3 times? r.r.r?

    Thanks mark. Wondered why it wasn't working.
     
  7. Sep 5, 2011 #6
    Found a method. Thanks guys:)
     
  8. Sep 6, 2011 #7

    Not quite. Would you say 10 goes into 1000 3 times (substituting 10 for r)? Glad you seemed to get it sorted though.
     
  9. Sep 6, 2011 #8

    Hurkyl

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    Staff Emeritus
    Science Advisor
    Gold Member

    Excellent! I think it's neat that arithmetic with polynomials is so very similar to arithmetic with integers. And not just the four arithmetic operations -- you also have other things, such as unique factorization into primes. (exercise: work out what precisely that should mean)


    The analogy actually runs very, very deep -- you might see more of it if you ever go into algebraic number theory or into algebraic geometry.
     
  10. Sep 6, 2011 #9
    r goes into r^3 r^2 times.
    3 times, what a novice response -.-

    all good got the solution
     
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