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Help please 8. Consider the polynomial function given by p(x) = 0.0005(x + 21.7)3(x - 20.9)?(x - 31.4) (x2 + 100). a. What is the

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8. Consider the polynomial function given by p(x) = 0.0005(x + 21.7)3(x - 20.9)?(x - 31.4) (x2 + 100). a. What is the degree of p? b. What are the real zeros of p? State them with multiplicity. c. Construct a carefully labeled sign chart for p(x). d. Plot the function p in Desmos. Are the zeros obvious from the graph? How do you have to adjust the window in order to tell? Even in an adjusted window, can you tell them exactly from the graph? e. Now consider the related but different polynomial q(x) = -0.0005(x + 21.7) (x - 20.9)'(x - 31.4)(x2 + 100) (x - 92.3). What is the degree of q? What are the zeros of q? What is obvious from its graph and what is not

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