Question: = x + Problem 17.9 (30). Let 01,.. , an E C be roots of f(X) an-1Xn-1 +...+aX + ao E C[X] and Sk =

= x + Problem 17.9 (30). Let 01,.. , an E C be roots of f(X) an-1Xn-1 +...+aX + ao E C[X] and Sk = a + + ami (k > 1) Prove that k-1 an-iSk-i (1 1) Prove that k-1 an-iSk-i (1

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Problem 17.9 (30). Let a,, an EC be roots of f(X) An-1Xn- +. + ... + aX + ao C[X] and Prove that Sk = k Sk = a + = a + +ah (k 1) -kan-k n ... i=1 k-1 an-iSk-i (1k n) i=1 -an-iSk-i (n + 1 k) = Xn +

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