I need to find constants A and B that work.
Rewrite the R side to the common denominator (x)(x-1)
{A(x-1) + B (x) ] / (x(x-1) now equate the numerators from both sides
A(x-1) + B (x) = x+3
Ax -A + Bx = x+3
Obviously A = -3
then
-3x + Bx = x so B = 4