Find the zeros of the function

y=(x+2)(x-4)(x-5)

1 answer

To find the zeros of the function, we set y equal to zero and solve for x:

0 = (x+2)(x-4)(x-5)

Since the product of three factors is equal to zero, at least one of the factors must be equal to zero. Therefore, we can set each factor equal to zero and solve for x:

x + 2 = 0
x = -2

x - 4 = 0
x = 4

x - 5 = 0
x = 5

Therefore, the zeros of the function are x = -2, x = 4, and x = 5.