Question

franciscos teacher asked him to describe the number of relative extrema a polynomial of degree two could have. francisco answered, the polynomial will have exactly five relative extrema. write 1 - 2 sentences discussing why franciscos answer is incorrect (2 points)

Explanation:

The number of relative extrema of a polynomial is at most one less than its degree. So a polynomial of degree two cannot have exactly five relative extrema.

Answer:

Francisco's answer is incorrect because the number of relative extrema of a polynomial is at most one - less than its degree. A polynomial of degree two can have at most one relative extremum, not five.