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Q.

The Quotient obtained when x⁴ + 11x³ – 44x² + 76x + 48 is divided by x² – 2x + 1 is

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a

x² + 13x – 19

b

x² – 13x + 5

c

x² – 13x + 19

d

x² + 13x + 25

answer is B.

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Detailed Solution

$x^{4} + 11 x^{3} - 44 x^{2} + 76 x + 48 = (x^{2} - 2 x + 1) (x^{2} + 13 x - 19) + (25 x + 67)$

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