Answer:
(x^2 -2x +1) -16/(5x+10)
Explanation:
The quotient and remainder can be found by polynomial long division or by synthetic division.
___
For synthetic division, it is recommended to divide the dividend and divisor by the leading coefficient of the divisor (5), so the divisor coefficient is 1. This results in a divisor of (x+2) and a remainder of -16/5. The simplified remainder becomes ...
(-16/5)/(x+2) = -16/(5x +10)
See the attachments for the various methods of computing the quotient.