If $x^{2} - 18 x + 81$ is divided by x - 3, then the remainder is ________.

144

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Solution

The correct option is B 36
Assume that x - 3 = 0 , then x = 3
The required remainder = Value of $x^{2} - 18 x + 81$ at x = 3.
Remainder = $(3)^{2} - 18 (3) + 81$
= 9 - 54 + 81 = 36

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