Use synthetic division to find the result when the polynomial x^(4)-8x^(3)+12x^(2)+12x-38 is divided by x+4. Write your answer in the form q(x)+(r(x))/
(d(x)), where q(x) is the quotient, r(x) is the remainder, and d(x) is the divisor. Which of the following options correctly represents the quotient and remainder?

A) q(x) = x^(3)-12x^(2)+60x-238, r(x) = -950/(x+4)
B) q(x) = x^(3)-12x^(2)+60x-238, r(x) = -38/(x+4)
C) q(x) = x^(3)-12x^(2)+60x-238, r(x) = -950
D) q(x) = x^(3)-12x^(2)+60x-238, r(x) = -38
Note: The unnecessary space and words have been removed, and the question now has 4 options.