How do you find the quotient of #(9m^3-6m^2+3m+2)div(m-1)# using long division?

1 Answer
Barney V.
Jul 21, 2018

#9m^2+3m+2/(m-1)#

Explanation:

#(9m^3-6m^2+3m+2)-:(m-1)#

#color(white)(..........)color(white)(............)9m^2+3m#
#m-1|overline(9m^3-6m^2+3m+2)#
#color(white)(.............)ul(9m^3-9m^2)#
#color(white)(.......................)3m^2-3m#
#color(white)(.......................)ul(3m^2-3m)#
#color(white)(.................................)0+0+2#

#(9m^3-6m^2+3m+2) / (m-1) = 9m^2+3m+2/(m-1)#

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