Complex Number |
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A complex number is any number written in the form: a + bi Where ‘a’ and ‘b’ are real numbers, and ‘i’ is the imaginary unit. |
Fundamental Theorem of Algebra |
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Every polynomial equation with complex coordinates and a degree greater than zero has at least one root in the set of complex numbers. |
A polynomial equation with degree n will have n roots in the set of complex numbers.
Solve the below polynomial equation, and determine its number of roots:
Figure 1. |
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This polynomial equation has one (repeating) root.
Descartes’ Rule of Signs can be used to determine the number of positive real zeros, negative real zeros, and imaginary zeros in a polynomial function.
It is the topic of the next lecture.