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A polynomial f (x) has the given zeros of 6, -1, and -3. Part A: Using the Factor Theorem, determine the polynomial f (x) in

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A polynomial f (x) has the given zeros of 6, -1, and -3. Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations. (3 points) Part B: Divide the polynomial f (y) by (x2 - x - 2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote. (4 points) Part C: List all locations and types of discontinuities of the function g(x). Be sure to check for all asymptotes and holes. Show all necessary calculations. (3 points)

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