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Let f (x) = 3x3 + 2x2 + 2, g(x) = 4x2 + x, h(x) = 3x5 + 2x3 + x2 + 2 Z5 [x].

Let f (x) = 3x3 + 2x2 + 2, g(x) = 4x2 + x, h(x) = 3x5 + 2x3 + x2 + 2 Z5 [x]. State the Remainder Theorem and find quotient and remainder in following cases F (x) = x5 + 3x4 + 2x + 1 is divided by g(x) = x - 2 ?

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