SOLUTION: find the polynomial of least degree having zeros: -5i and 6+i

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Question 854658: find the polynomial of least degree having zeros: -5i and 6+i
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complex roots always come in conjugate pairs.
f%28x%29=%28x-5i%29%28x%2B5i%29%28x-%286%2Bi%29%29%28x-%286-i%29%29
f%28x%29=%28x%5E2%2B25%29%28x%5E2-12x%2B37%29
f%28x%29=x%5E4-12x%5E3%2B62x%5E2-300x%2B925