Question 612943
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.