This problem is about the End behavior and writing equations of polynomials given zeros and multiplicities. It is also about graphing polynomials including x-intercepts and y-intercepts. This problem can show you how you can graph the polynomial to match the end behavior.
You need to pay attention to the zeros because if you don't get one right they wont match you r end behavior or your end behavior to your zeros. you also need to pay attention to the factoring because if you do it wrong you can end up with less x-intercepts (or zeros). Last thing is that you need to remember to write down your end behavior right because it will maybe end up confusing you when it is time to graph it.