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Q.

The quotient and remainder when $x^{4} - 11 x^{3} + 44 x^{2} - 76 x + 48$ is divided by $x^{2} - 7 x + 12$ is

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a

Quotient is $x^{2} + 4 x - 4$

b

Quotient is $x^{2} - 4 x + 4$

c

Remainder is 0

d

Remainder is 1

answer is A, B.

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Detailed Solution

$\begin{array}{l} f (x) = x^{4} - 11 x^{3} + 44 x^{2} - 76 x + 48 \\ g (x) = x^{2} - (7 x - 12) \end{array}$

Question Image

Quotient $= x^{2} - 4 x + 4$

Remainder $= 0$

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