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

1 Answer
Jun 26, 2018

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

Explanation:

(3x^3 - 23x^2 - 4x + 1 ) / (x - 4)

color(white)(aaa) - - - - - - - - - - - - -

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

color(white)(aaa) | color(white)(aaaa) darr color(white)(aa) -12 color(white)(aa)-140 color(white)(aa) -576

color(white)(aaa)|- - - - - - - - - - - - -

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

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