How do you divide #(-3x^3 - 12x^2-6x+5 )/((5x+2)#?

1 Answer

#(-3x^3-12x^2-6x+5)/(5x+2)=#

#-3/5x^2-54/25x-42/125+(709/125)/(5x+2)#

Explanation:

#" " " " " " " underline(-3/5x^2-54/25x-42/125)#
#5x+2|~-3x^3-12x^2-6x+5#
#" " " " " " "underline(-3x^3-6/5x^2)#
#" " " " " " " " " " "-54/5x^2-6x+5#
#" " " " " " " " " " "underline(-54/5x^2-108/25x)#
#" " " " " " " " " " " " " " " "-42/25x+5#
#" " " " " " " " " " " " " " " "underline(-42/25x-84/125)#
#" " " " " " " " " " " " " " " " " " " " " " " "709/125#

God bless....I hope the explanation is useful