Write a quadratic function f whose zeros are −12 and −3.

A quadratic function is generally given by f(x) = a(x - h)(x - k), where h and k are the zeros of the function.

Given that the zeros of the function are -12 and -3, we can substitute these values into the equation.

So, the quadratic function f with zeros at -12 and -3 is given by:

f(x) = a(x - (-12))(x - (-3))

This simplifies to:

f(x) = a(x + 12)(x + 3)

We can choose a = 1 (since the value of a doesn't affect the zeros of the function), so the function becomes:

f(x) = (x + 12)(x + 3)

So, the quadratic function f whose zeros are -12 and -3 is f(x) = (x + 12)(x + 3).