. suppose, p is a polynomial with real coefficients. then, which of the following statements is necessarily correct? (a) there is no root of the derivative p'be

. Suppose, p is a polynomial with real coefficients. Then, which of the following statements is necessarily correct? (a) There is no root of the derivative p'between twO real roots of the polynomial p (b) There is exactly one root of the derivative p' between any two real roots of p (c) There is exactly one root of the derivative p' between any two consecutive roots of p (d) There is at least one root of the derivative p' between any two consecutive roots of p