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 sentences discussing why Francisco’s answer is incorrect. write like a 10th grader

1 answer

Francisco's answer is incorrect because a polynomial of degree five can have up to four relative extrema (maxima or minima), not exactly five, since the maximum number of relative extrema is always one less than the degree of the polynomial.