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Question 4 | 10 points I Let g(x) be the function graphed to the right. Use the graph to answer each of the following multiple-choice

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Question 4 | 10 points I Let g(x) be the function graphed to the right. Use the graph to answer each of the following multiple-choice questions. A. The function g(x) is... 1. even Il. odd Ill. neither B. The degree of g(x) is... I. even I1. odd Ill. impossible to tell C. The leading coefficient of g(x) is... I. positive Il. negative Ill. impossible to tell D. Is x a factor of g(x)? 1. yes Ill. no Ill. impossible to tell E. The factor x - 4 is a factor of g(x) with which type of multiplicity? 1. even Il. odd Ill. impossible to tell Question 5 | 20 points A. Construct a polynomial with real coefficients with a degree of 3 that has zeros of -1, 2, and 4, and a y-intercept of (0, -8). Give your answer in factored form. (8 points) B. Construct a polynomial with real coefficients that has a degree of 4, only one real zero at 8, one of its complex zeros at 3 - i, and passes through the point (6, -20). Give your answer in standard form. (12 points)

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