Show your work for factoring the following polynomial function completely: f(x) = x5 - 8x +...

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Show your work for factoring the following polynomial function completely: f(x) = x5 - 8x + 6x + 7x-6 Follow these steps: a) List the possible zeros using the Rational Zero Theorem. b) Choose a possible zero and prove that it is a zero using either the factor theorem or synthetic division. Show your work. Explain your choice of method. c) Write the polynomial function in its factored form. Show your work for factoring the following polynomial function completely: f(x) = x5 - 8x + 6x + 7x-6 Follow these steps: a) List the possible zeros using the Rational Zero Theorem. b) Choose a possible zero and prove that it is a zero using either the factor theorem or synthetic division. Show your work. Explain your choice of method. c) Write the polynomial function in its factored form.