Copy of Exploring Polynomial Root Multiplicity

Adjust the sliders a-e however you like to manipulate the graph. Record one mathematical observation you found.

Adjust the sliders to the positions as follows: a=1, b=2, c=3, d=4, e=5. What do you notice about the graph's x-intercepts? Why does this occur?

Choose the same value for a and b but choose different values for numbers c-e. What do you notice about the graph?

What do you notice about the graph's x-intercepts when a, b, and c are the same value but d and e are different?

Continue adjusting the sliders to observe what happens to the graph. Make a conjecture about the values of a-e and the x-intercepts