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Mathematics > Course Model Algebra II (Traditional Pathway) > The Complex Number System
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Mathematics | Course : Model Algebra II (Traditional Pathway)

Domain - The Complex Number System

Cluster - Use complex numbers in polynomial identities and equations.

[AII.N-CN.C.7] - Solve quadratic equations with real coefficients that have complex solutions.

Resources:


  • Coefficient
    Any of the factors of a product considered in relation to a specific factor.
  • Complex number
    A number that can be written as the sum or difference of a real number and an imaginary number.
  • Quadratic equation
    An equation that includes only second degree polynomials. Some examples are y = 3x2 – 5x2 + 1, x2 + 5xy + y2 = 1, and 1.6a2 +5.9a – 3.14 = 0.
  • Real number
    A number from the set of numbers consisting of all rational and all irrational numbers.

Predecessor Standards:

No Predecessor Standards found.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • AI.A-REI.B.4.b
    Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when the solutions of a quadratic equation results in non-real solutions and write them as a ± bi for real numbers a and b.
  • AII.N-CN.A.1
    Know there is a complex number i such that i2 = −1, and every complex number has the form a + bi with x-a and b real.
  • AII.N-CN.A.2
    Use the relation i2 = –1 and the Commutative, Associative, and Distributive properties to add, subtract, and multiply complex numbers.
  • PC.N-CN.C.9
    (+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials.