The degree of the polynomial is the greatest number of zeros the polynomial could have, and is equal to the number of factors that it has (including repeated factors).

Question

1)true
2)false

Answer 1

The statement is true.

The degree of a polynomial indeed indicates the maximum number of zeros (roots) that the polynomial can have, counting multiplicity. This means that if a polynomial is of degree \( n \), it can have up to \( n \) zeros in total, including repeated zeros. Each zero corresponds to a factor of the polynomial, so the number of factors (counting multiplicities) will also be equal to the degree of the polynomial.