In the following applet, investigate the degree and leading coefficient of each polynomial and compare it to the graphs end behavior.
Were your initial predictions about the [b]end behavior[/b] of even- and odd-degree polynomials confirmed by the applet above? Explain how.
Use the slides to investigate the behavior of a zero based on the degree of the factor.
[*]Did the graph always pass through the exact number of zeros you expected? If not, what could be the reason?[br][br][/*][*]How did the [b]multiplicity of zeros[/b] (e.g., repeated factors) affect the way the graph touched or crossed the x-axis?[br][br][/*][*]Compare two polynomials: one even-degree and one odd-degree, both with the same number of zeros. What differences do you notice in their overall shape?[br][/*]