Jenaye37
Jenaye37 Jenaye37
  • 26-09-2018
  • Mathematics
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What is the quotient when (10n^2-37n-12) is divided by (n-4)?

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altavistard
altavistard altavistard
  • 26-09-2018

I used synthetic division to determine the quotient.  Dividing by n-4 in long div. is equivalent to div. by 4 in synth. div.:

   __________________

4 /   10       -37         -12

                  40          12

 -----------------------------------

     10          3            0

Since there's no remainder, the quotient is 10x+3, which is obtained using the coefficients shown at the bottom above.

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