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Find the remainder when f(x) is divided by g(x) and verify the result by actual division:

f(x) = x3 -6x2 +2x -4, g(x) = 1-2x

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We have

f(x) = x3 -6x2 +2x -4 and g(x) = 1-2x

Therefore, by remainder theorem when f(x) is divided by g(x) = -2(x-1/2), the remainder is equal to f(1/2)

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