Polynomials, Graphs, and Multiplicity of Roots
In this video we define multiplicity and look at how it impacts the graph of a polynomial. We look at the behavior of the polynomial near the root (does the graph bounce, shoot straight through, or snake its way through the axis?) and discuss why the graph might flatten out some.
0:12 What is multiplicity?
1:54 What does multiplicity of roots mean for the graph of a polynomial?
3:05 What do bounce, shoot, and snake mean?
4:48 Why does the graph flatten out on an interval 1 unit in either direction of the root?