1. **State the problem:** Find a polynomial equation with roots $-6$, $4$, $-1$, and $-2$ using multiplication and addition. 2. **Formula:** The polynomial with roots $r_1, r_2, r_3, r_4$ is $$(x - r_1)(x - r_2)(x - r_3)(x - r_4) = 0$$ 3. **Substitute roots:** $$(x + 6)(x - 4)(x + 1)(x + 2) = 0$$ 4. **Multiply pairs:** $$(x + 6)(x - 4) = x^2 + 2x - 24$$ $$(x + 1)(x + 2) = x^2 + 3x + 2$$ 5. **Multiply quadratics:** $$(x^2 + 2x - 24)(x^2 + 3x + 2) = x^4 + 5x^3 - 16x^2 - 68x - 48$$ 6. **Final equation:** $$x^4 + 5x^3 - 16x^2 - 68x - 48 = 0$$ This polynomial has the given roots.