How do you divide $\frac{- 3 x^{3} - 23 x^{2} - 4 x + 1}{x - 4}$ $(-3x^3-23x^2-4x+1)/(x-4)$ ?

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How do you divide $\frac{- 3 x^{3} - 23 x^{2} - 4 x + 1}{x - 4}$ $(-3x^3-23x^2-4x+1)/(x-4)$ ?

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Answer 1 · 2018-06-26T05:59:22

$\Rightarrow Quotient - 3 x^{2} - 35 x - 144, Remainder - \frac{575}{x - 4}$ $color(green)(=>"Quotient " -3x^2 - 35x - 144, " Remainder " -575/ (x-4)$

Explanation:

$\frac{3 x^{3} - 23 x^{2} - 4 x + 1}{x - 4}$ $(3x^3 - 23x^2 - 4x + 1 ) / (x - 4)$

$a a a - - - - - - - - - - - - -$ $color(white)(aaa) - - - - - - - - - - - - -$

$4 a a ∣ a a - 3 a a a - 23 a a a a - 4 a a a a + 1$ $4 color(white)(aa) | color(white)(aa) -3 color(white)(aaa) -23 color(white)(aaaa) -4 color(white)(aaaa) + 1$

$a a a ∣ a a a a ⏐ ↓ a a - 12 a a - 140 a a - 576$ $color(white)(aaa) | color(white)(aaaa) darr color(white)(aa) -12 color(white)(aa)-140 color(white)(aa) -576$

$a a a ∣ - - - - - - - - - - - - -$ $color(white)(aaa)|- - - - - - - - - - - - -$

$a a a ∣ a a - 3 a a a - 35 a a - 144 a a - 575$ $color(white)(aaa)| color(white)(aa) -3 color(white)(aaa) -35 color(white)(aa) -144 color(white)(aa) -575$

$\Rightarrow Quotient - 3 x^{2} - 35 x - 144, Remainder - \frac{575}{x - 4}$ $color(green)(=>"Quotient " -3x^2 - 35x - 144, " Remainder " -575/ (x-4)$

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How do you divide $\frac{- 3 x^{3} - 23 x^{2} - 4 x + 1}{x - 4}$ $(-3x^3-23x^2-4x+1)/(x-4)$ ?

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How do you divide −3x3−23x2−4x+1x−4(-3x^3-23x^2-4x+1)/(x-4) ?

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Explanation:

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How do you divide $\frac{- 3 x^{3} - 23 x^{2} - 4 x + 1}{x - 4}$ $(-3x^3-23x^2-4x+1)/(x-4)$ ?