Question

Find the partial fraction decomposition:
(4x-11)/((2x^2)-x-3)

Answer 1

(4x-11)/((2x^(2))-x-3)

(4x-11)/(2x^(2)-x-3)

(4x-11)/((x+1)(2x-3))
---------------------------------
(A)/(x+1)+(B)/(2x-3)

4=2A+B

-11=-3A+1B
--------------------------------------
4=2A+B
-11=-3A+1B

Simultaneous
B=-2
A=3

(3)/(x+1)-(2)/(2x-3)

Answer 2

thanks!