Question linked in pic also it is asking for the quotient

Answer:
[tex]Answer:-3x^3+8x^2-20x+40-\frac{82}{x+2}[/tex]Explanation:
Let us perform the synthetic division.
Therefore,
[tex]\boxed{\frac{-3x^{4}+2x^{3}-4x^{2}-2}{x+2}=-3x^3+8x^2-20x+40-\frac{82}{x+2}}[/tex]which is our answer!