Review of Complex Numbers

This lesson reviews the imaginary unit and complex numbers in standard form, including arithmetic, powers of i, complex solutions to quadratic equations, plotting on the complex plane, and absolute value.

Syllabus

Introduction
Imaginary unit i
What is a complex number a + bi
Simplifying the square root of a negative number #1
Simplifying the square root of a negative number #2
Solving a quadratic equation with complex solutions
Simplifying product of two negative radicals
Adding complex numbers
Subtracting complex numbers
Multiplying complex numbers using FOIL
Multiplying complex conjugates
Dividing complex numbers
Simplifying powers of i #1
Simplifying powers of i #2
Plotting complex numbers on the Argand diagram
Finding the absolute value of a complex number