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Unformatted text preview: (i) ( 5 marks ) n X k =1 z k ! = n X k =1 z k (ii) ( 5 marks ) ( z 1 z 2 z n ) = z 1 z 2 z n 2. ( 10 marks ) Let N be a xed positive integer. Consider the polynomial P ( z ) := N X k =0 a k z k , z C , where every a k , 0 k N , is a real number. Prove that a complex number is a root of P if and only if is also a root of P ; that is, prove that P ( ) = 0 if and only if P ( ) = 0....
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This note was uploaded on 03/08/2010 for the course MATH 407 taught by Professor Staff during the Fall '08 term at Texas A&M.
 Fall '08
 Staff
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