N-CN: Number and Quantity - The Complex Number System

Number and Quantity - The Complex Number System

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The Complex Number System introduces imaginary and complex numbers and their arithmetic. Standards include applying complex numbers to solve quadratic equations and, at the plus level, representing them geometrically. Content appears in Algebra 2 and Precalculus.

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
Divide the following complex numbers.
Find the distance, , between and .
Express your answer in exact terms and simplify, if needed.
Find the solutions of the quadratic equation:


Write your answer in terms of
.
Express your answer in the form (a + bi).
Find the distance, , between and .
Express your answer in
exact terms and simplify, if needed.
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