This problem is about using randomly selected zeroes to create a polynomial. The zeroes should also be used to find the x-intercepts and the y-intercept. Finally, it should be possible to glean the end behavior and graph the equation as well.
For this problem, you should make sure you know how the multiplicity of a zero affects the graph of the equation. A multiplicity of one, for example, means that the graph will go through that point. Knowing the meanings of the multiplicity will make the graph more accurate.
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