The degree of a polynomial is equal to the maximum number of zeros (roots) it can have, counting multiplicities, and it is also equivalent to the number of linear factors (including repeated factors) of the polynomial when factored over the complex numbers. This means a polynomial of degree \( n \) will have exactly \( n \) roots in the complex number system, which corresponds to \( n \) linear factors.
In 1-2 sentences, describe the relationship between the degree of a polynomial and the number of
zeros and factors it has
1 answer
1 answer