Find the root(s) of f (x) = (x + 5)3(x - 9)2(x + 1).

A root occurs when one of the factors equals zero. From (x + 5)³ = 0, x = -5 with multiplicity 3; from (x - 9)² = 0, x = 9 with multiplicity 2; and from (x + 1) = 0, x = -1 with multiplicity 1. Therefore, the correct choices are -5 with multiplicity 3, 9 with multiplicity 2, and -1 with multiplicity 1.

AI-written and checked against the verified answer.