SOLUTION: Will you please help me with the homework: Divide 8x^4+6x^2-3x+1 by 2x^2-x+2 Thank you

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Question 1175328: Will you please help me with the homework:
Divide 8x^4+6x^2-3x+1 by 2x^2-x+2
Thank you
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This works about the same way as "long division". 

             4x^2+2x
          _____________________________
2x^2-x+2  |  8x^4+0x^3+6x^2-3x+1
          |
          | -(8x^2-4x^3+8x^2)
           ----------------
             0x^2+4x^3-2x^2-3x
                  4x^3-2x^2+4x
                 -------------
                  0x^3+0x^2-7x+1    notice degree in x is here less than degree found in the divisor.

QUOTIENT: 4x%5E2%2B2x%2B%28-7x%2B1%29%2F%282x%5E2-x%2B2%29.