Question 134593
Given: {{{x^3+2x^2-5x-6}}} and {{{(x+3)}}} is a factor

Divide just the same way you would using arithmetic

Ask How many times does the (x+3) go into (x^3 +2x^2) ??  x^2 times
x^3  + 2x^2 - 5x -6
x^3  + 3x^2
----------------------

     -x^2   - 5x - 6      How many times does (x+3) go into -x^2 - 5x? -x
     -x^2   - 3x  
     ---------------
            -2x - 6      How many times does (x+3) go into this? -2
            -2x - 6 
             ------
                  0

{{{(x+3)(x^2 - x -2)}}} 

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