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The remainder obtained when the polynomial $x^{4} - 3 x^{3} + 9 x^{2} - 27 x + 81$ is divided by $x - 3$

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Detailed Solution

$f (x) = x^{4} - 3 x^{3} + 9 x^{2} - 27 x + 81$

Remainder $= f (3) = 81 - 81 + 81 - 81 + 81 = 81$

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