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(a) Let p be a polynomial of degree n with n distinct root c, C2, ..., G . Show that p(:) i=1 Hint. First show

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(a) Let p be a polynomial of degree n with n distinct root c, C2, ..., G . Show that p(:) i=1 Hint. First show that p'(c.) 0 for all i = 1, 2, ..., n. (b) Use (a) to find r(a+2)(x -3)(x - 1)

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