This problem is about solving a polynomial with a fourth degree and graphing it. A student needs to factor out the polynomial and find the x-intercepts, in addition to their multiplicities. That way, he or she will know how the x-intercepts act on the graph (through, bounce, or curve).
The viewer needs to pay special attention to the end behavior of the graph to understand the general formation of the graph. Since this end behavior is even positive, both ends of the graph will be pointing upwards. In addition, a viewer needs to pay special to the x-intercepts and their multiplicities to see what the graph will look like in between the two ends: whether the graph will go through, bounce off, or curve out of the x-intercepts. These apply to the multiplicities of one, two, and three, respectively.
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