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The degree of the polynomial function f(x) is 4.

Answer: bottom left graph
Step-by-step explanation:
"roots" are where the graph crosses the x-axis. The given roots of -8, -5, 1, and 2 are coordinates (-8, 0), (-5, 0), (1, 0), and (2, 0). The only graph that has those coordinates is the one at the bootom left.