Question

In 1-2 sentences, describe the relationship between the degree of a polynomial and the number of zeros and factors it has. (2 points)

Answer 1

The degree of a polynomial indicates the maximum number of zeros (or roots) it can have, which corresponds to the number of factors it can be expressed with, taking into account multiplicity. For example, a polynomial of degree \( n \) can have up to \( n \) real or complex zeros and can be factored into \( n \) linear factors over the complex numbers.