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You have a root of 5+i, so the conjugate 5-i is also a root
The same thing applies to 3-2i. The conjugate 3+2i is also a root.
So we have 4 roots total so far.
Since x = 0 is a double root, we add on 2 more roots to get a total of 6 roots.
So the least degree of this polynomial is 6.