Vikas TU
Last Activity: 5 Years ago
We can expand this as :
9x+11 /(x-1)(x^2 +3x+1) = A/(x-1) + Bx+c / (x^2 +3x+1)
RHS
[A(x^2 +3x+1) + (Bx+c)(x-1) ]/(x-1)(x^2 +3x+1)
(A+B)x^2 + (3A-B+C)x + A-C = numerator
Compare the coefficent of LHS and RHS
A+B = 0
B = -A
3A + C - B = 9
4A +C = 9.............I
A-C = 1 ..............II
Solving equation I and II
A= 2 , B = -2 , c = 1