17-118 Precalculus-Algebra Section 3.4 Well-Written 1. Find all real zeros of the function f(x) = 6x4 -7x3 -38x2 - 12x + 16, using the following steps must show all work in each step): a. List all possible rational zeros of f(x). P 12, 4, 8, 16 S 1 , 2 , 3, 6 b. Carefully graph f(x). List all rational zeros that you plan to test. c. Use synthetic division to check these zeros (and to reduce the degree of the polynomial remaining to be factored). d. List all real zeros of the function f(x). (Each zero must be justified algebraically.) e. Write f(x) as a product of factors with integer coefficients. f. Write f(x) as a product of linear factors