What are the zeros of the polynomial function y = x(x − 6)(x + 3)(x − 11)?

A zero makes one of the factors equal to 0. Setting each factor to 0 gives x = 0, x − 6 = 0 so x = 6, x + 3 = 0 so x = −3, and x − 11 = 0 so x = 11. Therefore the zeros are 0, 6, −3, and 11, which is choice C.

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