Given:
[tex]f(x)=x^3-x^2+3;x+2[/tex]
we will use the synthetic division to divide f(x) by (x+2) so,
The answer will be as shown in the following picture
[tex]\begin{gathered} q(x)=x^2-3x+6 \\ r=-9 \end{gathered}[/tex]
So, we will write the answer in the form (x-c)q(x) + r
[tex](x+2)(x^2-3x+6)-9[/tex]
so, the answer will be option 3
