SOLUTION: Write a polynomial function with rational coefficients so that P(x)=0 has the given roots. 3i and {{{ sqrt( 6 ) }}} Thanks!

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Question 1104915: Write a polynomial function with rational coefficients so that P(x)=0 has the given roots.
3i and +sqrt%28+6+%29+


Thanks!
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Also need root -3i and another root -sqrt%286%29.


%28x-3i%29%28x%2B3i%29%28x%2Bsqrt%286%29%29%28x-sqrt%286%29%29
%28x%5E2-%289i%5E2%29%29%28x%5E2-6%29
%28x%5E2%2B9%29%28x%5E2-6%29
x%5E4-6x%5E2%2B9x%5E2-54
highlight%28x%5E4%2B3x%5E2-54%29