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Division of a Polynomial by a Polynomial

Divide x3-6...

Question

Divide $x^{3} - 6 x^{2} + 11 x - 6$ by $x^{2} - 8 x + 27$

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Solution

$x^{2} - 8 x + 27) x^{3} - 6 x^{2} + 11 x - 6 (x + 2$
$x^{3} - 8 x^{2} + 27 x$
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$2 x^{2} - 11 x - 6$
$2 x^{2} - 16 x + 54$
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$5 x - 60$

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