1. **State the problem:** Find the zeros of the function $$f(x) = x^2 + 2x - 24$$. 2. **Recall the formula:** To find zeros, solve $$f(x) = 0$$, so: $$x^2 + 2x - 24 = 0$$. 3. **Factor the quadratic:** We look for two numbers that multiply to $$-24$$ and add to $$2$$. These numbers are $$6$$ and $$-4$$ because $$6 \times (-4) = -24$$ and $$6 + (-4) = 2$$. 4. **Write the factored form:** $$x^2 + 2x - 24 = (x + 6)(x - 4)$$. 5. **Set each factor equal to zero:** $$x + 6 = 0 \implies x = -6$$ $$x - 4 = 0 \implies x = 4$$. 6. **Final answer:** The zeros of the function are $$x = -6$$ and $$x = 4$$. Therefore, the correct choice is B. -6 and 4.