# Thread: [SOLVED] Partial fraction decomposition

1. ## [SOLVED] Partial fraction decomposition

Write out the form of the partial fraction decompositions (do not need numerical values of the coefficients)

$\frac{3x}{(x-1)(x^2+6)}$

2. Originally Posted by vinson24
Write out the form of the partial fraction decompositions (do not need numerical values of the coefficients)

$\frac{3x}{(x-1)(x^2+6)}$
This should be routine. $\frac{a}{x-1} + \frac{bx + c}{x^2 + 6}$.

3. Hello, vinson24!

Write out the form of the partial fraction decomposition.
(Do not need numerical values of the coefficients.)

$\frac{3x}{(x-1)(x^2+6)}$

$\frac{3x}{(x-1)(x^2+6)} \;=\;\frac{A}{x-1} + \frac{Bx+C}{x^2+6}$