MATH601:AbstractAlgebraII 3rdHomeworkSolutions Hungerford,ExerciseV.3.6 JonathanRosenberg assignmentdueMonday,February19,2001 (a)Wearegivenf(x),g(x)relativelyprimeinK[x],suchthat f(x) g(x) /∈K.Inparticular,f(x)andg(x) eachhavedegreeatleast1.Nowxisarootofthepolynomialϕ(y)= f(x) g(x...
\begin{matrix} element\backslash power &2 &|&order\\ \overline{1}&\overline{1}&|&1\\ \overline{-1}&\overline{1}&|& 2\\ \overline{5}&\overline{25}=\overline{1}&|&2\\ \overline{7}&\overline{49}=\overline{1}&|&2\\ \overline{-7}=\overline{5}& \overline{1}&|&2\\ \...
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