# SACE Stage 2 Specialist Mathematics – Complex Numbers

2.1 Cartesian and Polar Forms
2.2 The Complex (Argand) Plane
2.3 Roots of Complex Numbers
2.4 Factorisation of Polynomials

The Cartesian form of complex numbers was introduced in Real and complex numbers in Stage 1 Mathematics, and the study of complex numbers is now extended to the polar form. The arithmetic of complex numbers is developed, and their geometric interpretation as an expansion of the number line into a number plane is emphasised. Their fundamental feature — that every polynomial equation has a solution over the complex numbers — is reinforced, and de Moivre’s theorem is used to find nth roots.

Source – Subject Outline, South Australian Certificate of Education 2023

SACE Stage 2 Specialist Mathematics Courses

SACE Stage 2 Specialist Mathematics Syllabus

## Course Content

### Complex Numbers

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