Use synthetic division to solve $\left(4 x^3-3 x^2+5 x+6\right) \div(x+6)$. What is the quotient?
A$4 x^2+21 x+131+\frac{792}{x+6}$
B$4 x^2+21 x+131+\frac{792}{x-6}$
C$4 x^2-27 x+167-\frac{996}{x+6}$
D$4 x^2-27 x+167-\frac{996}{x-6}$
A$4 x^2+21 x+131+\frac{792}{x+6}$
B$4 x^2+21 x+131+\frac{792}{x-6}$
C$4 x^2-27 x+167-\frac{996}{x+6}$
D$4 x^2-27 x+167-\frac{996}{x-6}$