Complex Systems: Complex Numbers · Number and Algebra

Algebraic Forms and Conjugates

Mastering operations in the complex plane and the properties of complex conjugates.

Key Questions

  1. 1Why must non real roots of polynomial equations with real coefficients occur in conjugate pairs?
  2. 2How does the introduction of 'i' ensure that every polynomial has a root?
  3. 3What is the algebraic significance of a complex number multiplied by its conjugate?

MOE Syllabus Outcomes

MOE: Complex Numbers - JC2
Level: JC 2
Subject: Mathematics
Unit: Complex Systems: Complex Numbers
Period: Number and Algebra

Suggested Methodologies

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