Final answer:
The function with zeros of -4 and 2 is a quadratic equation.
Step-by-step explanation:
The function that has zeros of -4 and 2 is a quadratic function. We can write the quadratic equation in the form ax^2 + bx + c = 0, where a, b, and c are constants. The zeros of the function are the values of x that make the quadratic equation equal to 0.
We rearrange the equation into quadratic form, using the zeros -4 and 2:
(x + 4)(x - 2) = 0
This quadratic equation is equal to 0 when either (x + 4) = 0 or (x - 2) = 0. Solving for x, we find x = -4 or x = 2.