How do you divide #( -3x^3+ x^2-3x-28 )/(x + 1 )#?

1 Answer
May 21, 2017

The quotient is #=-3x^2+4x-7# and the remainder is #=-21#

Explanation:

Let's perform the long division

#color(white)(aaaa)##x+1##|##-3x^3+x^2-3x-28##color(white)(aaaa)##|##-3x^2+4x-7#

#color(white)(aaaaaaaaaa)##-3x^3-3x^2#

#color(white)(aaaaaaaaaaaaa)##0+4x^2-3x#

#color(white)(aaaaaaaaaaaaaaa)##+4x^2+4x#

#color(white)(aaaaaaaaaaaaaaaaa)##+0-7x-28#

#color(white)(aaaaaaaaaaaaaaaaaaaaa)##-7x-7#

#color(white)(aaaaaaaaaaaaaaaaaaaaaa)##-0-21#

The quotient is #=-3x^2+4x-7# and the remainder is #=-21#