Complex Numbers

2.1.1 Videos

2.1.2 Videos

Learning Objectives

  • Perform arithmetic operation with complex numbers.

    • Know there is a complex number i such that , and every complex number has the form a + bi with a and b real.

    • Use the imaginary number i and the commutative, associative, and distributive properties to add, subtract, and multiple complex numbers

    • (+) Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.

  • Use complex numbers in polynomial identities and equations.

    • (+) Extend polynomial identities to the complex numbers.

      • For example, factoring quadratic expressions with complex factors.