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Specialist Maths — Question 13

QCAA 2024, Paper 1 · 4 marks

Q13 · 2024 · Technology-freeSimple familiar4 marks

QUESTION 13 (4 marks)

P(z)=az2−iz+1−3iP(z)=az^2-iz+1-3i and Q(z)=z2+3iz+2aQ(z)=z^2+3iz+2a, where a∈Ca\in\mathbb C, have the same remainder when divided by z−iz-i. Use the remainder theorem to determine the value of aa.
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