Find the remainder when
$(3 x^{2} - 7 x + 5) is divided by (x - 1) .$

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Solution

The correct option is D 1
$Given P (x) = 3 x^{2} - 7 x + 5 Dividing P (x) by x - 1. x - 1 3 x - 4) ¯ ¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯ ¯ 3 x^{2} - 7 x + 5 3 x^{2} - 3 x - + - -------- - - 4 x + 5 - 4 x + 4 + - - -------- - 1 So, the remainder is 1.$

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