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 1–2 sentences discussing why Francisco’s answer is incorrect
Francisco's answer is incorrect because a polynomial of degree five can have at most four relative extrema. The number of relative extrema can never exceed the degree of the polynomial.
Francisco's answer is incorrect because a polynomial of degree five may or may not have five relative extrema. The number of relative extrema depends on the behavior of the polynomial and can vary.
Francisco's answer is incorrect because a polynomial of degree five can have at most four relative extrema. The number of relative extrema in a polynomial is determined by the degree of the polynomial minus one. So, a polynomial of degree five can have at most four relative extrema, not five.
