Use Synthetic Division to Find the Quotient $\frac{x^{5}+7 x^{4}+7 x^{3}-12 x^{2}+18 x+17}{x+5}$

Multiple Choice

Use synthetic division to find the quotient.
- $\frac{x^{5}+7 x^{4}+7 x^{3}-12 x^{2}+18 x+17}{x+5}$

A) $x^{4}+2 x^{3}-3 x^{2}+3 x+2$
B) $x^{4}+2 x^{3}-3 x^{2}+3 x+3+\frac{2}{x+5}$
C) $x^{3}+2 x^{2}-3 x+3+\frac{2}{x+5}$
D) $x^{4}+2 x^{3}-3 x^{2}+3 x-3+\frac{4}{x+5}$