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EPHS Precalculus Honors Chandra - 2.4 (Complex Numbers)
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Keywords: EPHS, EPAHS, East Pennsboro Area High School, East Penn HS, EP, Created S.Y. 2017-18 Textbook: Precalculus with Limits, Advanced
Terms in this set (12)
Discriminant of a Quadratic Equation
b^2 - 4ac (What's under the square root in the quadratic formula)
Standard Form of a Complex Number
a + bi
If b^2 - 4ac > 0
2 real zeros
If b^2 - 4ac = 0
1 real zero (with multiplicity of two - a double root)
If b^2 - 4ac < 0
2 complex zeros (a conjugate pair)
Conjugate Pair
Complex zeros always come in these
Definition of a Complex Number
Equality of Complex Numbers
Addition and Subtraction of Complex Numbers
Multiplication of Complex Numbers
FOIL and simplify,
remember that i^2 = -1
Division of Complex Numbers
Multiply the numerator and denominator by the complex conjugate of the denominator to make it real. Simplify the numerator.
Principal Square Root of a Negative Number
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