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Unformatted text preview: Numbers & Polys MAS3300 Home-V Prof. JLF King 20Nov2006 Note. Permitted: Brain, SigmonNotes, calculator, com- puter, webpage; but no other human beings other than me. Please write each essay on separate sheets of paper , using complete grammatical English sentences. Use every third line . Essays violate the Checklist at Grade Peril ! Be sure to write expressions unambiguously e.g, the expres- sion 1 /a + b should be bracketed either [1 /a ]+ b or 1 / [ a + b ]. Be careful with negative signs! Every if must be matched by a then . Use P ( S ) to mean the powerset of S . Exam is due no later than 10:00 AM , Friday, 28Apr2006 , slid under LIT402. Please email me afterwards . V1: Suppose that is a root of Q-irreducible poly f ( x ) := x 3- x 2- 3 x- 2 . Fact: Each number z Q ( ) can be written in std. form : as SF( z ) = q 2 2 + q 1 + q where each q i Q ....
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