Therefore( [tex]m^3 -6m^2-16m +63[/tex] )÷ (m-7) [tex]= (m^2 +m-9)[/tex]
Step-by-step explanation:
[tex]m^3 -6m^2-16m +63[/tex]
[tex]=m^3 -7m^2[/tex][tex]+m^2 -7m[/tex][tex]-9m+63[/tex]
[tex]= m^2(m-7)[/tex][tex]+m(m-7)[/tex][tex]-9(m-7)[/tex]
[tex]= (m-7 ) (m^2 +m-9)[/tex]
Therefore( [tex]m^3 -6m^2-16m +63[/tex] )÷ (m-7) [tex]= (m^2 +m-9)[/tex]
