SOLUTION: What polynomial function with rational coefficients works for the given roots: 3i and √6

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Question 738468: What polynomial function with rational coefficients works for the given roots: 3i and √6
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The imaginary roots always come in pairs, so
There are roots +3i+, +-3i+ and +sqrt%286%29+
+f%28x%29+=+%28+x+%2B+3i+%29%2A%28+x+-+3i+%29%2A+%28+x+-+sqrt%286%29%29+
+f%28x%29+=+%28+x%5E2+-+9%2A%28-1%29+%29%2A%28+x+-+sqrt%286%29+%29+
+f%28x%29+=+%28+x%5E2+%2B+9+%29%2A%28+x+-+sqrt%286%29+%29+
+f%28x%29+=+x%5E3+-+sqrt%286%29%2Ax%5E2+%2B+9x+-+9%2Asqrt%286%29+