Francisco’s teacher asked him to describe the number of relative extrema a polynomial of degree five could have. Fransisco answered, the polynomial will have exactly five relative extrema write 1-2 sentences discussing why Francisco’s answer is incorrect write it like a 10th grader

Answer 1

Francisco's answer is incorrect because a polynomial of degree five can have fewer than five relative extrema. The number of relative extrema is at most the degree of the polynomial minus one, so a degree five polynomial can have up to four relative extrema, not five.