Step 1 :Let's write a quadratic function $f$ whose zeros are 7 and -2.
Step 2 :A quadratic function with zeros at x=a and b can be written in the form of $f(x) = k(x-a)(x-b)$, where k is a constant.
Step 3 :In this case, a=7 and b=-2. We can assume k=1 for simplicity, as it does not affect the zeros of the function.
Step 4 :Substitute a, b, and k into the equation, we get $f(x) = (x-7)(x+2)$.
Step 5 :Expand the equation, we get $f(x) = x^2 - 5x - 14$.
Step 6 :\(\boxed{f(x) = x^2 - 5x - 14}\) is the quadratic function whose zeros are 7 and -2.