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Chapter 10.5
Multiplying and dividing complex numbers
What You'll Learn
Multiply complex numbers using the FOIL method like polynomials
Apply the definition i² = -1 to simplify products of complex numbers
Divide complex numbers by multiplying by the conjugate of the denominator
Recognize that multiplying a complex number by its conjugate yields a real number
Simplify complex expressions by grouping real and imaginary parts
What You'll Practice
1
Multiplying binomial complex numbers and simplifying using i² = -1
2
Multiplying complex numbers with radicals and mixed terms
3
Dividing complex numbers using conjugate multiplication
4
Simplifying products of conjugate pairs to eliminate imaginary parts
Why This Matters
Multiplying and dividing complex numbers is essential for advanced algebra, engineering, and physics. You'll use these skills when solving quadratic equations with no real solutions, analyzing electrical circuits, and working with waves and oscillations in calculus and beyond.
Before You Start — Make Sure You Can:
This Unit Includes
8 Video lessons
Practice exercises
Skills
Complex Numbers
FOIL Method
Conjugates
i² = -1
Simplification
Division
Imaginary Numbers
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