If {2 x^{4}-x^{3}+3 x^{2}-x+4}/{x^{2}-3 x+2} =f(x)+\frac{\A}{x-1}+\frac{\B}{x-2} then ______

Correct Answer is : f(x)=2x2+5x+14,A+B=31

f(x)=2 x^{2}+5 x+14, \A=4, \B=35