(3X-5)/(X^2-2X-3)=(3x-5)/[(x-3)(x+1)](3X-5)/(X2-2X-3)=A/(X-3)+B/(X+1)=[A(x+1)+B(x-3)]/[(x-3)(x+1)]=[(A+B)x+(A-3B)]/(x^2-2x-3)A+B=3A-3B=-5A=1 B=2
A=___1___,B=____2__