Final answer:
The least possible value of n is 1.
Step-by-step explanation:
The least possible value of n can be determined by finding the highest degree term in the polynomial function. Since the polynomial function is given as p = anx^n, we need to find the highest degree term among the factors (x-3), (x-i), and (x-(2i)).
The highest degree term is found by multiplying the highest power of x from each factor. In this case, the highest power of x is x^1 from the factor (x-3), so the leading term is anx^1 = anx.
Therefore, the least possible value of n is 1.