SOLUTION: (x^3+7x^2-5x-6) divided by (x+2)

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Question 349202: (x^3+7x^2-5x-6) divided by (x+2)
Found 2 solutions by Fombitz, CharlesG2:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use polynomial long division,

         x^2 + 5x - 15
        __________________________
x + 2  | x^3 + 7x^2 - 5x - 6
      -  x^3 + 2x^2
       ---------------------
               5x^2 - 5x - 6
             - 5x^2 + 10x
                --------------
                     -15x - 6 
                   - -15x -30
                     ----------
                           24

%28x%5E3%2B7x%5E2-5x-6%29%2F%28x%2B2%29=%28x%5E2%2B5x-15%29%2B24%2F%28x%2B2%29

Answer by CharlesG2(834) About Me  (Show Source):
You can put this solution on YOUR website!
(x^3+7x^2-5x-6) divided by (x+2)


x^2 + 5x - 15
x + 2 --> x^3 + 7x^2 - 5x - 6
x^3 + 2x^2
5x^2 - 5x
5x^2 -10x
-15x - 6
-15x - 30
24 (remainder of 24/(x + 2))
check:
(x + 2)(x^2 + 5x - 15 + 24/(x + 2))
x^2(x + 2) + 5x(x + 2) - 15(x + 2) + 24/(x + 2) * (x + 2)
x^3 + 2x^2 + 5x^2 + 10x - 15x - 30 + 24
x^3 + 7x^2 - 5x - 6 (same as what we were dividing into)