Final answer:
The quadratic function in standard form with zeros at 4 and -7 is f(x) = x^2 + 3x - 28.
Step-by-step explanation:
The quadratic function in standard form with zeros at 4 and -7 is f(x) = (x - 4)(x + 7).
We can expand this expression to get:
f(x) = x^2 + 7x - 4x - 28
f(x) = x^2 + 3x - 28
Therefore, the correct quadratic function in standard form is f(x) = x^2 + 3x - 28.