(i)[3]
With all working shown, confirm that $u$ is a root of the equation $p(z) = 0$.
(ii)[7]
Find the other three roots of the equation $p(z) = 0$.
Mathematics 9709 · AS & A Level · Complex numbers
Complex numbers — practice question
For this question, calculators are not allowed. Let the polynomial $z^4 + 3z^2 + 6z + 10$ be written as $p(z)$. Let the complex number $-1 + i$ be written as $u$.