Consider the following function. Function Factors f(x) = 2x-x-6x+3 (2x-1), (x+3) (a) Verify the given factors of f(x). 1 (2x-1) 2-1 2 1 0 -3 2 0 -6 0 (x+5) 3 -1 -6 -23 3+6 -3 2-1-23 3 3 (b) Find the remaining factor(s) of f(x). (Enter your answers as a comma-separated list.) (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.) x= (e) Confirm your results by using a graphing utility to graph the function. f(x) -4 10 -5 -10 X 2 4 f(x) 10 2 4 -5 -10 f(x) 10 f(x) 10 5 A H -4 -5 -10- 4 x -4 -2 -5 -10 2 4