Final answer:
The function of the given form where the zeros include 2 and 3-4i is represented by the equation x³ - 2x² + 3x - 4 (option d).
Step-by-step explanation:
The function of the form ax³ + bx² + cx + d where a, b, c, and d are real numbers, and the zeros include 2 and 3-4i is represented by the equation x³ - 2x² + 3x - 4 (option d). To determine the function, we can use the zeros and rewrite them as factors of the polynomial. Since the zero is 2, we have a factor (x - 2). Similarly, since the zero is 3-4i, the conjugate 3+4i is also zero, giving us another factor ((x - (3-4i))(x - (3+4i))). By multiplying these factors together, we get the desired function.