Question 86298
(2x^2+6x^3-10-8x)/(2x+2)
Divide everything by 2:
(x^2+3x^3-5-4x)/(x+1)
Rearrange in descending powers:
{{{(3x^3 + x^2 - 4x - 5)/(x + 1)}}}
Use synthetic division:

-1    3  1  -4  -5
        -3   2  2
      3 -2  -2 -3

The quotient is 3{{{x^2}}} - 2x - 2 and the remainder is -3.
Give the answer as: 3{{{x^2}}} - 2x - 2 - {{{3/(x + 1)}}}