How do you divide #\frac{x^2+3x+6}{x+1}#?

1 Answer
Mar 13, 2018

Answer:

#x+2+4/(x+1)#

Explanation:

#color(white)("ddddddddd.d")x^2+3x+6#
#color(magenta)(+x)(x+1)-> ul(x^2+x larr" Subtract")#
#color(white)("ddddddddddd")0+2x+6#
#color(magenta)(+2)(x+1)->color(white)("ddd.")ul(2x+2larr" Subtract")#
#color(white)("dddddddddddddddd")0color(magenta)(+4larr" Remainder")#

#color(magenta)(x+2+4/(x+1))#