Which of the following properly describes the relationship between the degree of a polynomial and the number of zeros it has?(1 point) Responses The degree of the polynomial is half the number of zeros. The degree of the polynomial is double the number of zeros. The degree of the polynomial is the least number of zeros the polynomial could have. The degree of the polynomial is the greatest number of zeros the polynomial could have.

Question

Which of the following properly describes the relationship between the degree of a polynomial and the number of zeros it has?(1 point) Responses The degree of the polynomial is half the number of zeros.  The degree of the polynomial is double the number of zeros. The degree of the polynomial is the least number of zeros the polynomial could have.  The degree of the polynomial is the greatest number of zeros the polynomial could have.

GPT-4o mini · Answer

The correct response is: **The degree of the polynomial is the greatest number of zeros the polynomial could have.** In general, a polynomial of degree $ n $ can have up to $ n $ zeros, which includes both real and complex zeros (counting multiplicity). However, it may have fewer zeros depending on the specific polynomial.