Final answer:
The correct quadratic function in standard form with zeros -11 and 6 is f(x) = (x + 11)(x - 6), which is option a).
Step-by-step explanation:
The question is asking to identify the quadratic function in standard form that has zeros of -11 and 6. A quadratic function in standard form is written as ax² + bx + c = 0. The zeros of a function are the values of x that make the function equal to zero. These zeros correspond to the factors of the quadratic equation; for a zero of -11, the factor would be (x + 11), and for a zero of 6, the factor would be (x - 6). Therefore, the correct function that has these zeros is f(x) = (x + 11)(x - 6), which corresponds to option a).
The quadratic function that is in standard form and has zeros -11 and 6 is f(x) = (x + 11)(x - 6). The standard form of a quadratic function is f(x) = ax^2 + bx + c. Since the zeros of the function are -11 and 6, we can write the function as a product of the factors (x + 11) and (x - 6). Therefore, the correct option is a) f(x) = (x + 11)(x - 6).