An Investigation in Multiplicity with Polynomial Functions

Adjust the slider values for [b]a[/b], [b]p[/b], [b]m[/b], [b]q[/b], and [b]n[/b] in the window below to change the leading coefficient of the function, the [i]location[/i] of its x-intercepts, and the [i]multiplicity[/i] of those x-intercepts.

In the window to the left of the graph, you can see the equation for the graph and note the changes that result from each slider's behavior.