This problem is about factoring a polynomial and determining its end behavior. In addition, the problem asks us to find the y-intercept and the multiplicity of the x-intercept(s). Using all the information gathered from the original equation, we graph the polynomial on a coordinate plane.
In order to understand how to successfully complete the problem, one must pay attention to the first term and degree of the equation. These parts of the polynomial are crucial because they enable someone to determine the end behavior of a graph. Another thing someone should be wary of is the multiplicities of the x-intercepts. They determine how the graph acts around the x-axis: 1=through; 2=bounce; 3=curve.
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