The problem is about graphing a polynomial. This included finding the x-intercepts, y-intercept, zeroes with multiplicities, and end behavior. A polynomial is given in which we have to factor. This will help us determine how to graph the equation demonstrating how they behave at the extremas and in the middle.
While graphing polynomials, special attention should be payed to a zeroes multiplicity so we know how to act around the x-axis. Additionally, it is important to remember that multiplicities of 1 go through the graph while two bounce, and three curve. We also need to pay close attention to the end behavior so we know what direction our graph should start and end at.