How do you divide $\frac{- x^{4} + 5 x^{3} + 3 x^{2} - 6 x - 2}{x^{2} - 4}$ $(-x^4+5x^3+3x^2-6x-2)/(x^2-4)$ ?

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How do you divide $\frac{- x^{4} + 5 x^{3} + 3 x^{2} - 6 x - 2}{x^{2} - 4}$ $(-x^4+5x^3+3x^2-6x-2)/(x^2-4)$ ?

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Answer 1 · 2016-06-14T16:07:01

$- x^{2} + 5 x - 1 + \frac{14 x - 6}{x^{2} - 4}$ $-x^2+5x-1 +(14x-6)/(x^2-4)$

Explanation:

Given: $\frac{- x^{4} + 5 x^{3} + 3 x^{2} - 6 x - 2}{x^{2} - 4}$ $" "(color(blue)(-x^4+5x^3+3x^2-6x-2))/(x^2-4)$

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$- x^{4} + 5 x^{3} + 3 x^{2} - 6 x - 2$ $" "color(blue)(-x^4+5x^3+3x^2-6x-2)$
$color(magenta)(-x^2)(x^2-4) ->color(white)(.)ul(-x^4 +0x^3+4x^2)" "larr" Subtract"$
$" "0+5x^3-x^2color(white)(.)-6x-2$
$color(magenta)(+5x)(x^2-4)->" "color(white)(....)ul(5x^3+0x^2-20x)" "larr" Subtract"$
$" "0-x^2+14x-2$
$color(magenta)(-1)(x^2-4) ->" "color(white)(..)ul(-x^2+0x+4)larr" Subtract"$
$" "0+14x-6$

$color(magenta)(-x^2+5x-1 +(14x-6)/(x^2-4)$

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How do you divide $\frac{- x^{4} + 5 x^{3} + 3 x^{2} - 6 x - 2}{x^{2} - 4}$ $(-x^4+5x^3+3x^2-6x-2)/(x^2-4)$ ?

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Explanation:

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How do you divide (-x^4+5x^3+3x^2-6x-2)/(x^2-4) −x4+5x3+3x2−6x−2x2−4(-x^4+5x^3+3x^2-6x-2)/(x^2-4) ?

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Explanation:

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How do you divide $\frac{- x^{4} + 5 x^{3} + 3 x^{2} - 6 x - 2}{x^{2} - 4}$ $(-x^4+5x^3+3x^2-6x-2)/(x^2-4)$ ?