SOLUTION: using long division divide x^3+4^2-3x by x^2+4

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Question 370732: using long division divide x^3+4^2-3x by x^2+4
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
        x   + 4
       ____________________________________
x^2+4 / x^3 + 4x^2 - 3x
        x^3        + 4x   <== Note how like terms are lined up!
       ------------
              4x^2 - 7x
              4x^2       + 16
              ---------------
                   - 7x  - 16

Since x^2 will not divide into -7x, we are done. The -7x-16 represents the remainder. And with the remainder we make a fraction out of it and the divisor. So:
%28x%5E3+%2B+4x%5E2+-3x%29%2F%28x%5E2%2B4%29+=+x+%2B+4+%2B+%28-7x-16%29%2F%28x%5E2%2B4%29