How do you find the quotient of (9m^3-6m^2+3m+2)div(m-1)(9m3−6m2+3m+2)÷(m−1) using long division?

1 Answer
Barney V.
Jul 21, 2018

9m^2+3m+2/(m-1)9m2+3m+2m−1

Explanation:

(9m^3-6m^2+3m+2)-:(m-1)(9m3−6m2+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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