Final answer:
The zeros of a polynomial function can be estimated using the quadratic formula, ax^2 + bx + c = 0. The confidence interval can also be calculated as mean ± margin of error, as demonstrated with the interval 0.56 ± 0.0435, resulting in (0.5165, 0.6035).
Step-by-step explanation:
The question involves estimating the zeros of a polynomial function. To calculate the 95 percent confidence interval, you can use the formula mean ± margin of error. In the provided example, the interval is 0.56 ± 0.0435, resulting in (0.5165, 0.6035). This is confirmed by the calculator function 1-PropZint.
For a quadratic equation of the form ax² + bx + c = 0, the zeros of the function can be estimated using the quadratic formula. Considering the provided constants, you would substitute into the quadratic formula to solve for 'x', yielding two potential zeros for the equation.