Question: Show your work for factoring the following polynomial function completely: f(x) = x5 - 8x + 6x + 7x-6 Follow these steps: a) List

Show your work for factoring the following polynomial function completely: f(x) =

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.

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