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Ascent Arcade / Practice / Specialist Mathematics / Year 12 / Complex numbers
Year 12 · Specialist Mathematics

Complex numbers

Choose a subtopic, explore its examples and practise with feedback.

Choose a subtopic.

Explore complex numbers for Year 12. Each subtopic has sample questions and worked answers; choose the skill you want to practise.

01

Cartesian and polar forms

Arguments, moduli and products in polar form.

Examples, answers and practice
02

Complex loci

Interpret circles, lines and distances in the Argand plane.

Examples, answers and practice
03

Roots of complex numbers

Root moduli and roots of unity.

Examples, answers and practice
04

Factorisation of polynomials

Conjugate roots, real factors and remaining roots.

Examples, answers and practice

Keep exploring.

Year 12 · Testing perpendicular vectors with the dot product →Year 11 · Multiplying complex numbers →
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Complex numbers | Year 12 Specialist | Ascent Arcade