Finding All of the Zeros of a Polynomial Including Complex

The video tutorial covers the process of identifying factors of a polynomial, using the remainder and factor theorems to check for zeros, and exploring the factorization of cubic polynomials. It also discusses the quadratic formula for finding complex solutions and explains Descartes' rule of signs to determine the number of positive and negative real zeros in a polynomial.

Why is the polynomial mentioned in the text not factorable?

What are the two complex solutions derived from the quadratic formula in the text?

What does Descartes' rule of signs indicate about the number of positive real zeros?