Level 3 Complex Numbers Walkthrough

2018 NCEA Level 3 Complex Numbers Question 1(a)

2018 Complex Numbers

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Walkthrough overview

What this question practises

This 2018 walkthrough is part of AS91577 — Apply the algebra of complex numbers in solving problems.

Method: Applying the Remainder Theorem to evaluate \(f(2)\).

This is Question 1(a) from the 2018 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.

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Learning summary

Review the method, not only the answer

This walkthrough helps you practise applying the Remainder Theorem to evaluate \(f(2)\). Use the hints to plan the method, then repeat the question without hints and check each step.

Common mistake to avoid

Substitute the stated value into every polynomial term before solving for the unknown or interpreting the remainder.

Continue practising

Question 1(b) →