Question 1200414
If the polynomial division is performed and then simplified, the result can be shown as {{{x^2+((m+2)/3)x+(2m+3n-28)/3}}} as the quotient.


If that is given to be equal to {{{x^2-3x+4}}}, then equate the corresponding terms.


{{{system((m+2)/3=-3,and,(2m+3n-28)/3=4)}}}.
Solve this system for m and n.