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Math Help - Algebraic Division

  1. #1
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    Algebraic Division

    I need serious help with this, I can't understand it at all:

    If I had, for example, x + 4x + 5x + 2 and had to divide it by (x+2)

    How would I do it?

    Can you please go through a method with me to solve this? It would be greatly appreciated. Thanks
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by db5vry View Post
    I need serious help with this, I can't understand it at all:

    If I had, for example, x + 4x + 5x + 2 and had to divide it by (x+2)

    How would I do it?

    Can you please go through a method with me to solve this? It would be greatly appreciated. Thanks
    There are a couple of ways. Long division or synthetic division.
    Code:
     
     
             x^2 + 2x + 1
          _____________________
    x + 2 ) x^3 + 4x^2 + 5x + 2
     
            x^3 + 2x^2
            ------------
                  2x^2 + 5x
                  2x^2 + 4x
                  ----------
                         x + 2
                         x + 2
                         =====

    Synthetic division:
    x^3 + 4x^2 +5x +2 divided by (x+2). Use -2 as divisor in synthetic division.
    Code:
     ___________________
    -2| 1  4   5   2
          -2  -4  -2
      ___________________
        1  2   1   0 (remainder)
    
     Quotient = x^2 + 2x + 1
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