Answer
[tex]x^{2}-3x+2-\frac{10}{x+2}[/tex]
Explanation
For the synthetic division, we have to arrange the coefficient of the numerator and the constant of the denominator as follows, and then follow the steps below:
Finally rearranging the data, considering that the first number of the result is the coefficient of x² and the last is the residual we get:
[tex]x^2-3x+2-\frac{10}{x+2}[/tex]
