Mathematics II The Complex Number System

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The Complex Number System

Resources

Perform arithmetic operations with complex numbers. [i2 as highest power of i]
1. Know there is a complex number i such that i2 = −1, and every complex number has the form a + bi with a and b real. tools-icon
2. Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex
numbers.
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Use complex numbers in polynomial identities and equations. [Quadratics with real coefficients]
7. Solve quadratic equations with real coefficients that have complex solutions. tools-icon
8. (+) Extend polynomial identities to the complex numbers. For example, rewrite x2 + 4 as (x + 2i)(x – 2i). tools-icon
9. (+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials. tools-icon