How is the degree of a polynomial related to the concept of complex numbers? explain your reasoning using mathematical justifications for your ideas. when you respond to a peer's post, be sure to ask them clarifying questions or provide counterexamples to their ideas.
in order for you to correctly answer this prompt, answer the following questions:
1. what does the degree of a polynomial tell you about the number of roots it has?
2. what does the number of roots a polynomial has tell you about complex numbers, based on the fundamental theorem of algebra?
3. based on how you answered those two questions, how does the degree of a polynomial relate to complex numbers?