IB Maths AA HL AA 1.6 Complex numbers questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper

Paper 1, no calculator Paper 2, calculator

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Question 1

Paper 1, no calculatorMedium7 marks

Consider the equation

z^3=8(\cos\pi+i\sin\pi).

(a)

Determine all distinct solutions, giving each in the form $a+bi$

[4]

(b)

Hence determine the monic quadratic polynomial with real coefficients whose roots are the two non-real solutions of the equation.

[3]

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