Question: Let f(x), g(x) Z7[x] where f(x) = 2x4 + 2x3 + 3x2 + x + 4 and g(x) = 3x3 + 5x2 + 6x

Let f(x), g(x) ∈ Z7[x] where f(x) = 2x4 + 2x3 + 3x2 + x + 4 and g(x) = 3x3 + 5x2 + 6x + 1. Determine f(x) + g(x), f(x) - g(x), and f(x)g(x).

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