How do you find the quotient of #(x^3+11x+14)div (x+2)# using long division?

1 Answer
Barney V.
Aug 25, 2017

#color(magenta)((x^3+11x+14) / (x+2) = x^2-2x+15# and remainder of #color(magenta)((-16)/(x+2)#

Explanation:

#color(white)(..........)color(white)(.)ul(x^2-2x+15)#
#x+2|x^3+0+11x+14#
#color(white)(............)ul(x^3+2x^2)#
#color(white)(...............)-2x^2+11x#
#color(white)(................)ul(-2x^2-4x)#
#color(white)(..............................)15x+14#
#color(white)(..............................)ul(15x+30)#
#color(white)(...................................)-16#

#color(magenta)((x^3+11x+14) / (x+2) = x^2-2x+15# and remainder of #color(magenta)((-16)/(x+2)#

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