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.
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Cartesian and polar forms
Arguments, moduli and products in polar form.
Examples, answers and practiceComplex loci
Interpret circles, lines and distances in the Argand plane.
Examples, answers and practiceRoots of complex numbers
Root moduli and roots of unity.
Examples, answers and practiceFactorisation of polynomials
Conjugate roots, real factors and remaining roots.
Examples, answers and practice