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Number and Quantity: The Complex Number System

570 preguntas21 habilidades


90 preguntas3 habilidades
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.


120 preguntas4 habilidades
Use the relation i2 = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.


60 preguntas2 habilidades
Find the conjugate of a complex number; use conjugates to find moduli and quotients of complex numbers.


145 preguntas6 habilidades
Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number.


110 preguntas4 habilidades
Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.


60 preguntas2 habilidades
Calculate the distance between numbers in the complex plane as the modulus of the difference, and the midpoint of a segment as the average of the numbers at its endpoints.


30 preguntas1 habilidad
Solve quadratic equations with real coefficients that have complex solutions.


15 preguntas1 habilidad
Extend polynomial identities to the complex numbers.
Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.
 Pronto habrá nuevas habilidades para este estándar.