Responses
The number of relative extrema of a polynomial is equal to the degree.
The number of relative extrema of a polynomial is equal to the degree.
The number of relative extrema of a polynomial is, at least, one less than the degree.
The number of relative extrema of a polynomial is, at least, one less than the degree.
The number of relative extrema of a polynomial is always one less than the degree.
The number of relative extrema of a polynomial is always one less than the degree.
The number of relative extrema of a polynomial is, at most, one less than the degree.
2 answers
The correct description of the relationship between the degree of a polynomial and the number of relative extrema it has is:
The number of relative extrema of a polynomial is, at most, one less than the degree.
This means that while a polynomial of degree \( n \) can have up to \( n-1 \) relative extrema, it is not guaranteed to have that many; it could have fewer depending on the specific polynomial.
