If the equation has roots of +-3i. The equation would be, (x + 3i)(x - 3i) which is equal to x^2 - (3i)^2 = x^2 + 3. Using division either by synthetic or long method, (x^3 + x^2 + 9x + 9)/(x^2 + 3) is equal to, x + 1 or x = -1 Thus, the answer is the second choice.