Final answer:
Using the given roots {-3i, 2, 3.5}, the corresponding factors are (x²+9) for the pair of complex roots, (x-2) for the root 2, and (x-3.5) for the root 3.5. None of the other provided expressions match these roots.
Step-by-step explanation:
The student is asking to select all factors of a polynomial given its roots: {-3i, 2, 3.5}. When we have roots of a polynomial, the corresponding factors can be determined by writing the roots in the form of (x - root). For complex roots they come in conjugate pairs, so if -3i is a root, we would also have 3i as a root, and the corresponding factor would be x²+9. The root 2 would give us the factor (x-2), and the root 3.5 would give us the factor (x-3.5). None of the other expressions provided can be directly derived from the given roots.