Understanding complex numbers as zeros

The video tutorial covers solving equations with complex numbers, using the quadratic formula, and understanding the fundamental theorem of algebra. It explains how to find zeros of polynomials, including complex solutions, and reviews the properties of complex numbers, such as the imaginary unit and complex conjugates.

In the context of complex numbers, what does it mean to take the square root of a negative number?

How can we express the solutions of the equation x² + 4 = 0 using complex numbers?

What is the relationship between the degree of a polynomial and the number of zeros it has?

What are complex conjugates and why are they important in solving polynomial equations?