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  1. Make a sketch of the graph of each of the following functions. Describe the graphs. Homework Help ✎

    1. y = (x + 1)2(x − 2)2(x − 5)2

    2. y = −(x + 1)2(x − 2)2(x − 5)2

Identify the y-intercept and all of the x-intercepts.

What is the degree of the polynomial?
How does this relate to the end behavior of the graph?

Any factor that is 'squared' creates a double root.
What do double roots look like on a graph?

This graph is almost the same as the graph in part (a).
How is it different?