1. Let's start by stating the problem: "Solve for zeros" means finding the values of the variable (usually $x$) that make the function equal to zero. 2. The general formula or rule is: To find zeros of a function $f(x)$, solve the equation $$f(x) = 0$$. 3. Important rules: - Zeros are also called roots or x-intercepts. - For polynomial functions, factorization helps find zeros. - If the function is factored as $$f(x) = (x - a)(x - b)\cdots$$, then zeros are $x = a, b, \ldots$. 4. Example: Solve for zeros of $$f(x) = x^2 - 5x + 6$$. 5. Factor the quadratic: $$x^2 - 5x + 6 = (x - 2)(x - 3)$$ 6. Set each factor equal to zero: $$x - 2 = 0 \Rightarrow x = 2$$ $$x - 3 = 0 \Rightarrow x = 3$$ 7. So, the zeros of the function are $x = 2$ and $x = 3$. 8. This means the graph of $f(x)$ crosses the x-axis at these points. 9. If the function cannot be factored easily, use other methods like the quadratic formula or numerical methods. 10. Summary: To solve for zeros, set the function equal to zero and solve for $x$ using factoring, formulas, or other algebraic methods.