1. **State the problem:** Simplify the expression $$\frac{-3x^4 - 3x^3 - 9x^2}{3x^2}$$. 2. **Formula and rules:** When dividing polynomials, divide each term in the numerator by the denominator separately. 3. **Divide each term:** $$\frac{-3x^4}{3x^2} + \frac{-3x^3}{3x^2} + \frac{-9x^2}{3x^2}$$ 4. **Simplify each fraction:** $$-\cancel{3}x^{4-2} / \cancel{3} + -\cancel{3}x^{3-2} / \cancel{3} + -\cancel{9}x^{2-2} / \cancel{3}$$ 5. **Calculate powers and coefficients:** $$-x^2 - x - 3$$ 6. **Final answer:** $$\boxed{-x^2 - x - 3}$$