Irrational Zeros

Each of the problems below is a link. If you click on the problem, it will take you to a YouTube video of a full, step-by-step solution for the problem. You may try these problems as practice and use the videos to check your answer, or you can just watch the videos to see more worked-out example problems.

Find all zeros of P of x = x to the fifth power minus 2x to the fourth power minus 4x cubed + 8x squared minus x minus 2. Then, use the zeros, the end behavior, and a few extra points to sketch its graph
Find all zeros of P of x = x to the fourth power + 2x cubed minus 2x squared minus 3x + 2. Then, use the zeros, the end behavior, and a few extra points to sketch its graph