SOLUTION: Write a rational expression for: The average grade of Richard whose total score in x^4+3x^3-2x^2+1 subjects is (x+3)(x-4)

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Question 368948: Write a rational expression for:
The average grade of Richard whose total score in x^4+3x^3-2x^2+1 subjects is (x+3)(x-4)

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use polynomial long division,
%28x%2B3%29%28x-4%29=x%5E2-x-12
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           x^2 + 4x + 14
         __________________________________
x^2-x-12 | x^4 + 3x^3 -  2x^2 +  0x +   1
      -   (x^4 -  x^3 - 12x^2)
          --------------------
                 4x^3 + 10x^2
             -  (4x^3 -  4x^2 - 48x)
                --------------------
                        14x^2 + 48x +   1
                     - (14x^2 - 14x - 168)
                       -------------------
                                62x + 169
                               

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Average is the sum of total scores divided by total number of scores.