1. The problem statement, all variables and given/known data Write the partial fraction decomposition of the rational expression. Check your result algebraically. (x2 – 7x + 16)/[(x + 2)(x2 – 4x + 5)] 3. The attempt at a solution [A/(x+2)] + [(Bx+C)/(x2-4x+5)] x2-7x+16= A(X2-4x+5)+(Bx+C)(x+2) X2-7x+16=[A+B]x2+[-4A+B+C]x+[5A+C] A+B=1 => B=1-A -4A+B+C=-7 => Will need to plugin later 5A+C=16 => C=16-5A -4A+B+C=-7 => 4A+1-A+16-5A= -10A=17 A=(-17/10) Now I plug A back into the others B=1-(-17/10) => B=(27/10) C=16-5(-17/10) => C= (49/2) Result: [(-17/10)/(x+2)] + [((27x/10)+(49/2))/(x2-4x+5)] However, I am being told the answer is wrong. What is it that I am doing wrong?