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

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, at most, one less than the degree.
The number of relative extrema of a polynomial is, at most, 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.
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1 answer

The correct statement about 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 if a polynomial is of degree \( n \), it can have up to \( n - 1 \) relative extrema.