Unknown coefficients of a cubic with an imaginary root

Unknown coefficients of a cubic with an imaginary root

IB Year 6 | Grade 12

Given that \(2i\) is a root of the equation \(3z^3+2z^2+az+b=0\), find the values of \(a\) and \(b\), where \(a,\ b\in\mathbb{R}\).

Solution:

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Answer:\(a=12,\ b=8\)

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