Which polynomial function has zeros at 2, −4, and 1?

A zero r gives a factor of (x − r). The zeros 2, −4, and 1 therefore give the factors (x − 2), (x + 4), and (x − 1). Choice D, y = (x − 2)(x + 4)(x − 1), has exactly those factors.

AI-written and checked against the verified answer.