Which of the following properly describes the relationship between the degree of a polynomial and the number of zeros it has?(1 point)

Question

Responses

The degree of the polynomial is the greatest number of zeros the polynomial could have.
The degree of the polynomial is the greatest number of zeros the polynomial could have.

The degree of the polynomial is double 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 least number of zeros the polynomial could have.

The degree of the polynomial is half the number of zeros.

Answer 1

The correct response is:

The degree of the polynomial is the greatest number of zeros the polynomial could have.

This means that a polynomial of degree \( n \) can have up to \( n \) zeros, counting multiplicities. However, it may have fewer zeros if some of them are complex or if there are repeated roots.