CPM Homework Help : PC3 Problem 8-129

Rewrite the following fraction as a sum of two fractions with linear denominators by using partial fraction decomposition.

$\frac { 5 x + 6 } { x ^ { 2 } + 3 x }$

Step 1:

$\frac { 5 x + 6 } { x (x + 3) }$

Step 2:

$\frac{A}{x}+\frac{B}{x+3}=\frac{5x+6}{x(x+3)}$

Step 3:

$A\left(x+3\right)+Bx=5x+6$