Level 3 Complex Numbers Walkthrough

2024 NCEA Level 3 Complex Numbers Question 1(a)

2024 Paper

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Walkthrough overview

What this question practises

This 2024 walkthrough is part of AS91577 — Apply the algebra of complex numbers in solving problems.

Method: Using the factor theorem to find \(p\).

This is Question 1(a) from the 2024 NCEA Level 3 Complex Numbers paper for AS91577 — Apply the algebra of complex numbers in solving problems. Use the guided hints to practise the method before revealing the full working.

Calc.nz is an independent learning resource. Compare questions, diagrams, and assessment information with the official NZQA resources for AS91577.

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Learning summary

Review the method, not only the answer

This walkthrough helps you practise using the factor theorem to find \(p\). Use the hints to plan the method, then repeat the question without hints and check each step.

Common mistake to avoid

Match the factor to its root carefully: for a factor x − a, substitute x = a into the complete polynomial and keep every sign.

Continue practising

Question 1(b) →