Art of Problem Solving

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If A is the answer to this problem and the problem is telling us to compute the value of A^4 - 4A^3 + 6A^2 -3A + 1 then A^4 - 4A^3 + 6A^2 -3A + 1 =A After some guess in check you get that 1(C) is the answer.
(Sorry that I didn't write it in Latex.)

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