Use synthetic division to solve (4x^3-3x^2+5x+6) divided by (x+6) what is the quotient?

As x+6 is the quotient, you need to use -6 

-6 |  4   -3   +5       6
x         -24  +162 -1002
add
        4  -27  167  -996

f(x)= 4x^2 -27x +167 - 996/(x+6)

Lets check
(x+6)(4x^2 -27x +167)= 4x^3 -27x^2 +167x + 24x^2 - 162x + 1002 =
= 4x^3 - 3x^2 +5x +1002
1002-996= 6
So we have the correct solution: 4x^2 -27x +167 - 996/(x+6)

A: 0.26 would be the answer