This problem is a polynomial that is factored and taken apart in order to be able to graph it. This problem includes x-intercept, y-intercept, zeroes (with multiplicities),and end behavior. We are able to pull out all of these things from the given polynomial which we then use to graph it.
It is important to pay special attention to the detail and how everything is necessary for plotting the graph. The term with the biggest exponential value (x^4) determines the end behavior of the graph. Zero multiplicities are especially important because they determine the middle behavior around the x-axis; this shows us how precisely how the polynomial is graphed so we don't have to guess.
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