How do you use synthetic division to divide $\frac{- 3 x^{4}}{x - 2}$ $(-3x^4)/(x-2)$ ?

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How do you use synthetic division to divide $\frac{- 3 x^{4}}{x - 2}$ $(-3x^4)/(x-2)$ ?

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Answer 1 · 2018-01-29T10:28:54

$- 3 x^{3} - 6 x^{2} - 12 x - 24 - \frac{48}{x - 2}$ $color(green)(-3x^3 - 6x^2 - 12x - 24 -(48)/(x-2))$

Explanation:

$a a 2 a a ∣ a a - 3 a a a a a 0 a a a 0 a a a a 0 a a a a 0$ $color(white)(aa)2color(white)(aa)|color(white)(aa)-3color(white)(aaaaa)0color(white)(aaa)0color(white)(aaaa)0color(white)(aaaa)0$
$a a a a a a ∣$ $color(white)(aaaaaa)|$
$a a a a a ∣ a a a a ⏐ ↓ a a - 6 - 12 - 24 - 48$ $color(white)(aaaaa)|color(white)(aaaa)darrcolor(white)(aa)-6-12-24-48$
$a a a a a ⊢ - - - - - - - - - - -$ $color(white)(aaaaa)|-------------$

$a a a a a a a a a - 3 a a a - 6 - 12 - 24 - 48$ $color(white)(aaaaaaaaa)-3color(white)(aaa)-6-12-24-48$

$- 3 x^{3} - 6 x^{2} - 12 x - 24 - \frac{48}{x - 2}$ $color(green)(-3x^3 - 6x^2 - 12x - 24 -(48)/(x-2))$

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How do you use synthetic division to divide $\frac{- 3 x^{4}}{x - 2}$ $(-3x^4)/(x-2)$ ?

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How do you use synthetic division to divide $\frac{- 3 x^{4}}{x - 2}$ $(-3x^4)/(x-2)$ ?