Answer:
B
Step-by-step explanation:
12x^3+3x^2-108 = 3x-6
3(4x^3+x^2-36) =3(x-2) ( divide by 3 both sides)
4x^3+x^2-36=x-2
4x^3+x^2-36
4x^3+x^2-36/x-2 =
divisor 4x^2 :(4x^2) (x-2) =4x^3-8x^2
4x^3+x^2-36-4x^-8x^2 =9x^2-36
then divisor is 9x : 9x(x-2)= 9x^2-18x
the remainder is : 9x^2-18x-9x^2-36 = 18x-36
then divisor is 18: 18(x-2) = 18x-36
subtract : 18x-36-(18x-36)= 0
the answer is 4x^2+9x+18
