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

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

Answer 1

color(green)(=>"Quotient " -3x^2 - 35x - 144, " Remainder " -575/ (x-4) 

#### Explanation:

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

$\textcolor{w h i t e}{a a a} - - - - - - - - - - - - -$

$4 \textcolor{w h i t e}{a a} | \textcolor{w h i t e}{a a} - 3 \textcolor{w h i t e}{a a a} - 23 \textcolor{w h i t e}{a a a a} - 4 \textcolor{w h i t e}{a a a a} + 1$

$\textcolor{w h i t e}{a a a} | \textcolor{w h i t e}{a a a a} \downarrow \textcolor{w h i t e}{a a} - 12 \textcolor{w h i t e}{a a} - 140 \textcolor{w h i t e}{a a} - 576$

$\textcolor{w h i t e}{a a a} | - - - - - - - - - - - - -$

$\textcolor{w h i t e}{a a a} | \textcolor{w h i t e}{a a} - 3 \textcolor{w h i t e}{a a a} - 35 \textcolor{w h i t e}{a a} - 144 \textcolor{w h i t e}{a a} - 575$

color(green)(=>"Quotient " -3x^2 - 35x - 144, " Remainder " -575/ (x-4) 

#### Earn Coin

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions