Final answer:
The function that has zeros of -4 and 2 is a quadratic function given by f(x) = (x + 4)(x - 2).
Step-by-step explanation:
The function that has zeros of -4 and 2 is a quadratic function.
To find the equation of the quadratic, we can start by using the zero product property.
If a quadratic function has zeros of a and b, then the factored form of the quadratic is f(x) = (x - a)(x - b).
In this case, the zeros are -4 and 2, so the factored form of the quadratic is f(x) = (x - (-4))(x - 2).
Simplifying this equation gives us f(x) = (x + 4)(x - 2).