CPM Homework Help : PC3 Problem 4-14

Consider the polynomial function $p(x)=(x-3)^2(x+1)$ .

Hint:

Review the steps outlined in the help for problem 4-6.

More Help:

Complete the parts of the problem without the use a graphing calculator.
Then, use a graphing calculator to check your work. Correct any errors you might have made.
Remember that making mistakes and identifying and correcting them is how you build brain cells.

Sketch a graph of the function.
Now consider $q(x)=3(x-3)^2(x+1)$ . How will the graph of $y=q(x)$ be different from the graph of $y=p(x)$ ?
Do the graphs of $y=p(x)$ and $y=q(x)$ have any of the same points? Explain.