1. The problem is to find the equation to determine how many zeros a function has. 2. The number of zeros of a function corresponds to the number of solutions to the equation $$f(x) = 0$$. 3. To find the zeros, set the function equal to zero and solve for $$x$$. 4. For example, if the function is a polynomial $$f(x) = a_nx^n + a_{n-1}x^{n-1} + \cdots + a_1x + a_0$$, the number of zeros (counting multiplicities) is at most $$n$$, the degree of the polynomial. 5. Important rules: - The Fundamental Theorem of Algebra states that a polynomial of degree $$n$$ has exactly $$n$$ complex roots (zeros), counting multiplicities. - Real zeros are the roots that are real numbers. 6. To find the exact zeros, solve $$f(x) = 0$$ using factoring, quadratic formula, synthetic division, or numerical methods depending on the function. 7. Summary: The equation to find zeros is $$f(x) = 0$$, and the number of zeros depends on the function's degree and nature.