How do you divide #(5m^3 - 7m^2 + 14) / (m^2 - 2)#?

1 Answer
P dilip_k
May 7, 2016

#Here , quotient" =>(5m- 7) ##"and Remainder" =10m#

Explanation:

#(5m^3 - 7m^2 + 14) / (m^2 - 2)#
#=>((5m(m^2-2)+10m - 7(m^2-2)-cancel14 +cancel 14) )/ (m^2 - 2)#
#=>((5m(m^2-2) - 7(m^2-2)+10m) )/ (m^2 - 2)#
#=>((5m(m^2-2))/ (m^2 - 2)- 7(m^2-2)/ (m^2 - 2)+(10m)/(m^2 - 2) )#
#=>(5m- 7+(10m)/(m^2 - 2) )#

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