SOLUTION: Use long division of polynomials to divide and write the following improper rational function as a polynomial plus a rational function: a.) {{{ ( 2x^(3)-7x^(2)+7x ) / ( 2x-5 ) }

Question 1047962: Use long division of polynomials to divide and write the following improper rational function as a polynomial plus a rational function:
a.)
and
b.)
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
This works about the same way as regular base-ten long division. I will only do question "b".

                 4x            -1
         _____________________________________________
         |
         |       4x^3         -x^2       +16x      +0
x^2+4    |
         |      4x^3           0x^2      16x
          -------------------------------------
                 0            -x^2       0x         0
                              -x^2      0x         -4
                            --------------------------
                                0        0         4

Main quotient is 4x-1 and remainder is 4; and since the denominator is same as the divisor, full quotient result is .
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