HS.N-CN

HS.N-CN

HS.N-CN.1Know there is an imaginary number i, such that i² = −1, and every complex number has the form a + bi where a and b are real. Understand the hierarchal relationships among subsets of the complex number system.HS.N-CN.2Use the definition i² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.HS.N-CN.3Use conjugates to find quotients of complex numbers.HS.N-CN.4(+)Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers). Find moduli (absolute value) of a complex number. Explain why the rectangular and polar forms of a given complex number represent the same number.HS.N-CN.5(+)Represent addition, subtraction, multiplication, and conjugation of complex numbers geometrically on the complex plane; use properties of this representation for computation.HS.N-CN.6(+)This standard has been moved/removed by the committeeHS.N-CN.7Solve quadratic equations with real coefficients that have complex solutions.HS.N-CN.8(+)Extend polynomial identities to the complex numbers.HS.N-CN.9(+)Apply the Fundamental Theorem of Algebra to determine the number of zeros for polynomial functions. Find all solutions to a polynomial equation.
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