Number and Quantity: The Complex Number System Archive

Know there is a complex number i such that i^2 = −1, and every complex number has the form…

Use the relation i^2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex…

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

(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and…

(+) Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this…

(+) Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint…

Solve quadratic equations with real coefficients that have complex solutions.

(+) Extend polynomial identities to the complex numbers. For example, rewrite x^2 + 4 as (x + 2i)(x –…