Q:

Which polynomial function has zeros at 2, −4, and 1? y = (x + 2)(x − 4)(x + 1)y = (x − 2)(x − 4)(x + 1)y = (x + 2)(x + 4)(x − 1)y = (x − 2)(x + 4)(x − 1)

Accepted Solution

A:
Answer:y = (x - 2)(x + 4)(x - 1)Step-by-step explanation:Given the zeros of a function say x = a and x = b, thenThe factors are (x - a) and (x - b) and y = (x - a)(x - b)Given the zeros are x = 2, x = - 4, x = 1, thenthe factors are (x - 2), (x - (- 4)) and (x - 1), that is (x - 2), (x + 4), (x - 1) , thusy = (x - 2)(x + 4)(x - 1)