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|
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:
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.