SOLUTION: degree of 4 zeros: i, 3+i........find the remaining zeros

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Question 378946: degree of 4 zeros: i, 3+i........find the remaining zeros
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complex roots always come in complex conjugate pairs.
Since x=3%2Bi is a solution, x=3-i is also a solution.
Since x=i is a solution, x=-i is also a solution.
f%28x%29=%28x-i%29%28x%2Bi%29%28x-%283%2Bi%29%29%28x-%283-i%29%29
f%28x%29=%28x%5E2%2B1%29%28x%5E2-6x%2B10%29
f%28x%29=x%5E4-6x%5E3%2B11x%5E2-6x%2B10