(a)[3]
Verify that $-1 + \sqrt{2}i$ is a root of the equation $z^{4} + 3z^{2} + 2z + 12 = 0$.
(b)[7]
Find the remaining roots of this equation.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Insert $-1+\sqrt2 i$ and try expanding the $z^2$ and $z^4$ terms” …
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