SOLUTION: Algebra help with a long division problem? Solve with synthetic division. {{{ (2x^4 - 5x^2 - 3) }}} ÷ {{{ (x^2 - 2) }}} Thanks.

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Question 1057661: Algebra help with a long division problem? Solve with synthetic division.
+%282x%5E4+-+5x%5E2+-+3%29+ ÷ +%28x%5E2+-+2%29+
Thanks.
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Account for ALL degrees of x in the dividend. 


          ___________________________________________
          |
  x^2-2   |  2x^4   0x^3    -5x^2    +0x    -3
          |
          |________________




              2x^2     0      -1
          ___________________________________________
          |
  x^2-2   |  2x^4     0x^3    -5x^2    +0x    -3
          |  2x^2             -4x^2
          |_________________________
             0        0x^3    -x^2     0x
                              -x^2             2
                              ____________________
                                0       0     -5


Quotient is 2x%5E2-1-5%2F%28x%5E2-2%29.

Know that I used polynomial division. A way is possible using synthetic division but synthetic division is more commonly known for use with linear binomial divisor.