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

1 Answer
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) )