SOLUTION: Find all solutions of 4x^3+23x^2+34x-10=0, given that one solution is x=-3+i. Thank you

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Question 974754: Find all solutions of 4x^3+23x^2+34x-10=0, given that one solution is x=-3+i. Thank you
Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
%28x-%28-3%2Bi%29%29%28x-%28-3-i%29%29 because complex solutions occur as conjugate pairs.

%28x%2B3-i%29%28x%2B3%2Bi%29
%28x%2B3%29%5E2-i%5E2
x%5E2%2B6x%2B9%2B1
x%5E2%2B6x%2B10


Use synthetic division to find the other factor of the equation's left member polynomial.