Polynomial Factors

Use the sliders to create different polynomials of different degrees. Try various combinations of the factors, including using a specific factor more than once in the same equation.
1. How does the degree of the polynomial effect the number of roots in the equation? 2. What is the difference between the graphs of even and odd degree polynomials? 3. What effect does using a factor more than once in the same equation have on the graph of that equation?