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1 (a) Let 39(33) be a polynomial with real coefcients. Suppose that it has m real roots T1, . . . rm. Suppose that for

1 (a) Let 39(33) be a polynomial with real coefcients. Suppose that it has m real roots T1, . . . rm. Suppose that for each 3' the derivative p'(*rj) : 0. Show that the degree of p is at least 2m. (b) Let p(a:) and (1(33) be

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