Answer:
To find the zeros of a function, we need to find the values of x that make the function equal to zero.
The function y = x(x-4)(x+2) represents a cubic function.
To find the zeros of the function, we set the function equal to zero and solve for x:
x(x-4)(x+2) = 0
By using the zero product property, we know that if a product of factors equals zero, then at least one of the factors must be zero.
Setting each factor equal to zero:
x = 0, (x-4) = 0, (x+2) = 0
Solving these equations:
x = 0, x = 4, x = -2
Therefore, the zeros of the function y = x(x-4)(x+2) are x = 0, x = 4, and x = -2.
Among the options given, option d) x = 0, 4, 2 correctly represents the zeros of the function.
Therefore, the correct answer is d) x = 0, 4, 2.
Explanation: