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Math Help - Polynomial Long Division

  1. #1
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    Polynomial Long Division

    This just confuses me. I am asked to solve these division problems using long division. I know how to do them normally, but long division confuses me.

     \frac{x^3+2x^2+3x-6}{x-1}

    and

    \frac{n^3-27}{n-3}

    Any ideas?
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by AlderDragon View Post
    This just confuses me. I am asked to solve these division problems using long division.

     \frac{x^3+2x^2+3x-6}{x-1}

    and

    \frac{n^3-27}{n-3}

    Any ideas?
    first look at the first term in each divided and the divisor to see what is the number we multiply it with divided to give us the divisor then change the signs(or find the subtraction of them ) then find the sum like this

    Polynomial Long Division-mltiply.jpg

    it is clear or not
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  3. #3
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    Quote Originally Posted by Amer View Post
    first look at the first term in each divided and the divisor to see what is the number we multiply it with divided to give us the divisor then change the signs(or find the subtraction of them ) then find the sum like this

    Click image for larger version. 

Name:	Mltiply.JPG 
Views:	15 
Size:	64.3 KB 
ID:	11851

    it is clear or not
    The picture is clear but it's still kind of confusing. I found a youtube video that explains it much clearer. Thanks anyway.
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  4. #4
    A riddle wrapped in an enigma
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    Quote Originally Posted by AlderDragon View Post
    This just confuses me. I am asked to solve these division problems using long division. I know how to do them normally, but long division confuses me.

     \frac{x^3+2x^2+3x-6}{x-1}

    and

    \frac{n^3-27}{n-3}

    Any ideas?
    Hi AlderDragon,


    \frac{n^3-27}{n-3}=

    Use zeros to hold the places for the terms that are left out.

    Code:
              n^2 + 3n + 9
          ______________________
    n - 3 | n^3 + 0n^2 + 0n - 27
        (-) n^3 - 3n^2
            ------------
                  3n^2 + 0n
              (-) 3n^2 - 9n
                   ----------
                         9n - 27
                    (-)  9n - 27
                         ========
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  5. #5
    MHF Contributor Amer's Avatar
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    Typo sorry
    Last edited by Amer; June 11th 2009 at 12:26 AM.
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