The degree of a polynomial indicates the maximum number of zeros (or roots) it can have, counting multiplicities; each zero corresponds to a factor of the polynomial. Thus, a polynomial of degree \( n \) can have up to \( n \) factors, each of which can be linear or irreducible quadratic factors, depending on the nature of the zeros (real or complex).
In 1-2 sentences describe the relationship between the degree of a polynomial and the number of zeros and it’s factors it has
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What can I reword from this
The degree of a polynomial signifies the maximum number of zeros (or roots), considering their multiplicities; each zero aligns with a corresponding factor of the polynomial. Consequently, a polynomial of degree \( n \) can possess as many as \( n \) factors, which may be linear or irreducible quadratic factors, depending on whether the zeros are real or complex.