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the Function Factors (x) = 8x4 - 6x3 - 165x2 - 37x + 60 (x + 4), (x - 5) (a) Verify the given factors

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Function Factors (x) = 8x4 - 6x3 - 165x2 - 37x + 60 (x + 4), (x - 5) (a) Verify the given factors of f(x). ( x + 4 ) -4 8 -6 -165 -37 60 -32 152 52 356 8 -38 -13 -89 1-296 (x - 5) 5 8 -6 -165 -37 60 40 170 25 -60 8 34 5 -12 10 (b) Find the remaining factor(s) of f(x). (Enter your answers as a comma-separated list. Do not use any fractions or decimals in your answer.) (c) Use your results to write the complete factorization of f(x). f ( x ) = (d) List all real zeros of f. (Enter your answers as a comma-separated list.) * : (e) Confirm your results by using a graphing utility to graph the function. f(x) f(x) 1200 X - 6 -2 2 4 6 1000 -200 800 -400 600 - 600 400 -800 200 -1000 X -1200 O-6 -2 2 4 6 O

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