Question: Topic: Factoring polynomials over a field and for number 2 only Z11 1. Find q(x) and r(x) if f (x) = g(x)q(x) +r(x) and f

Topic: Factoring polynomials over a field and for number 2 only Z11

1. Find q(x) and r(x) if f (x) = g(x)q(x) +r(x) and f (x) = x5 + 3x4 + 5x2 - 3x + 2 and g(x) = 3x2 + 4x - 2 in Z,[x]. 2. Find all generators of the cyclic groups Z7, Zi1, Zig under multiplication. For number 2 just for Z11 Show transcribed image text

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