Question 1
A polynomial equation is given in the stimulus. Find all solutions to this equation over \(\mathbb{C}\).
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Specialist Mathematics Β· Unit 3 Β· Further complex numbers Β· Factorisation of polynomials
Solve polynomial equations over β to order 4 including those with real and imaginary coefficients, e.g. solve π§4 + π§3 β π§2 + π§ β 2 = 0 and π§3 β 2π π§2 + π§ β 2π = 0.
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Question 2
Solve the polynomial equation \(z^3 - 3iz^2 - 3z + 9i = 0\) over \(\mathbb{C}\). Express your solutions in the form \(a + bi\) where \(a, b \in \mathbb{R}\).
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