Question

f(x)=(1-x-9)/(x-1)(x-3)=A/(x-1)+B/(x-3)

find a and b

Answer 1

a = 9/2 , b = -11/2

Answer 2

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Answer 3

express the RHS as (A(x-3)+B(x-1)) / (x-1)(x-3)
this means that Ax-3A +Bx-B = 1-x-9 = -x-8
this means that -3A-B = -8
and A+B = -1