Fundamental Theorem of Algebra (Jump to: Lecture | Video )

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:

Figure 1.

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.