CHAPTER 1 • PAGE 3

Complex Numbers

Master imaginary numbers and complex number operations

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Quick Summary

A complex number is any number that includes a real part and an imaginary part: a + bi

Where a = real part, b = imaginary coefficient, and i = √(-1).

Complex numbers are essential for solving equations that don't have real solutions, like x² + 1 = 0.

⚠️ Powers of i cycle every 4 — memorize this pattern!

📐Essential Rules & Formulas

📝Fully Worked Examples (Regents Style)

🎯Personal Notes, Hacks & Alternative Methods

✏️Mini Practice Questions

📚Sources

  • NYS Algebra 2 Common Core Standards
  • JMAP Algebra 2 Regents Archive
  • NYSED Next Generation Mathematics Updates
  • EngageNY Algebra 2 Modules