SOLUTION: (use long division) Find the quotient and remainder when: x^4-5x^3+9x+2 is divided by x^2+x-3

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Question 1118975: (use long division) Find the quotient and remainder when: x^4-5x^3+9x+2 is divided by x^2+x-3
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
             x^2   -6x     9
          ___________________________________
x^2+x-3  |   x^4   -5x^3   0x^2   9x    2
         |
         |   x^4    x^3   -3x^2
         -----------------------
             0     -6x^3   3x^2   9x
                   -6x^3   -6x^2  18x
                  --------------------
                     0     9x^2   -9x    2
                           9x^2    9x   -27
                          ------------------
                            0     -18x   29


QUOTIENT:   x%5E2-6x%2B9
REMAINDER:  -18x%2B29