Final answer:
The zeros of the quadratic function f(x) = (x+4)(x-7) are x = -4 and x = 7.
Step-by-step explanation:
The zeros of the quadratic function f(x) = (x+4)(x-7) can be found by setting the function equal to zero and solving for x. Since the function is already factored, we can set each factor equal to zero:
x + 4 = 0: x = -4
x - 7 = 0: x = 7
Therefore, the zeros of the function f(x) = (x+4)(x-7) are x = -4 and x = 7.