Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?

Factor the polynomial: f(x) = −x³(x² − 9x + 18) = −x³(x − 3)(x − 6). The zeros are therefore 0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1, which matches choice B.

AI-written and checked against the verified answer.