1. **State the problem:** Find the zeros of a polynomial function. Zeros are the values of $x$ where the polynomial equals zero.
2. **Formula and rules:** To find zeros, solve the equation $$P(x) = 0$$ where $P(x)$ is the polynomial.
3. **Example:** Suppose the polynomial is $$P(x) = x^2 - 5x + 6$$.
4. **Factor the polynomial:** $$x^2 - 5x + 6 = (x - 2)(x - 3)$$.
5. **Set each factor equal to zero:**
$$x - 2 = 0$$ or $$x - 3 = 0$$.
6. **Solve for $x$:**
$$x = 2$$ or $$x = 3$$.
7. **Interpretation:** The zeros of the polynomial are $x = 2$ and $x = 3$. These are the points where the graph of the polynomial crosses the x-axis.
This method applies to any polynomial: factor it if possible, then solve for zeros by setting each factor equal to zero.
Polynomial Zeros Bc8Bde
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