This problem is a checkpoint for roots and graphs of polynomials. It will be referred to as Checkpoint 11.

1. What are all of the roots of $P\left(x\right) = x^{3} - 2x^{2} - 5x + 6$? Write the polynomial in factored form and sketch its graph.

For parts (b) and (c), write a possible equation for each of the following graphs.

Check your answers by referring to the Checkpoint 11 materials located at the back of your book.

Ideally, at this point you are comfortable working with these types of problems and can solve them correctly. If you feel that you need more confidence when solving these types of problems, then review the Checkpoint 11 materials and try the practice problems provided. From this point on, you will be expected to do problems like these correctly and with confidence.