Francisco's teacher asked him to describe the number of relative extrema a polynomial of degree five could have. Francisco answered, "The polynomial will have exactly five relative extrema." Write 2 sentences discussing why Francisco's answer is incorrect.

Answer 1

Francisco's answer is incorrect because the number of relative extrema a polynomial of degree five can have is at most four, not five. This is because a polynomial of degree five can have a maximum of four turning points, including both local maxima and local minima.