N-CN: The Complex Number System

The Complex Number System

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The Complex Number System introduces the imaginary unit and extends arithmetic into the complex plane. Three clusters cover arithmetic operations on complex numbers, representing and operating on complex numbers geometrically in rectangular and polar form, and using complex numbers to solve quadratic equations and extend polynomial identities.

N-CN.APerform arithmetic operations with complex numbers.N-CN.BRepresent complex numbers and their operations on the complex plane.N-CN.CUse complex numbers in polynomial identities and equations.
Example Problems


What is the real part of x?
What is the modulus (absolute value) of ?
Don't round. If necessary, express your answer as a radical.
Write as a product of linear factors.
Simplify:
Find the complex conjugate of .
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