The function x(x-2)(x+5) are x = 0, 2, -5.
The zeros of a function are the values of x for which the function evaluates to zero. To find the zeros of the function y=x(x-2)(x+5), we set the function equal to zero and solve for x.
x(x-2)(x+5) = 0
Using the zero product property, we know that at least one of the factors must be equal to zero. Therefore, we have the following three cases to consider:
Case 1: x = 0
Case 2: x-2 = 0
Case 3: x+5 = 0
Solving each case, we get the following zeros:
Case 1: x = 0
Case 2: x = 2
Case 3: x = -5
Therefore, the zeros of the function y = x(x-2)(x+5) are x = 0, x = 2, and x = -5.