SOLUTION: use synthetic division to perform 3xcubed plus 8xsquared plus 5x plus ten divided by x plus 2

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Question 231208: use synthetic division to perform 3xcubed plus 8xsquared plus 5x plus ten divided by x plus 2
Answer by jsmallt9(2063) About Me  (Show Source):
You can put this solution on YOUR website!
%283x%5E3+%2B+8x%5E2+%2B+5x+%2B+10%29%2F%28x%2B2%29
Synthetic division works for division of expressions like (x-a). So we have to picture the problem as:
%283x%5E3+%2B+8x%5E2+%2B+5x+%2B+10%29%2F%28x+-+%28-2%29%29
Now we can proceed:
-2 |   3   8   5   10
----      -6  -4   -2             
      ---------------
       3   2   1    8

So
%283x%5E3+%2B+8x%5E2+%2B+5x+%2B+10%29%2F%28x%2B2%29+=+3x%5E2+%2B+2x+%2B+1+%2B+8%2F%28x%2B2%29