### Home > PC3 > Chapter 4 > Lesson 4.1.1 > Problem4-14

4-14.

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

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

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.

1. Sketch a graph of the function.

2. Now consider $q(x)=3(x-3)^2(x+1)$. How will the graph of $y=q(x)$ be different from the graph of $y=p(x)$?

3. Do the graphs of $y=p(x)$ and $y=q(x)$ have any of the same points? Explain.