Question

Find the partial fraction decomposition for the rational expression. \[ \frac{532 x^{2}+76 x}{\left(x^{2}+2\right)(x+6)} \] A. $ \frac{40 x-164}{x^{2}+2}-\frac{492}{x+6} $ B. $ \frac{40 x-164}{x^{2}+2}+\frac{492}{x+6} $ C. $ \frac{40 x+492}{x^{2}+2}-\frac{164}{x+6} $ D. $ \frac{40 x}{x+6}+\frac{328}{x^{2}+2} $

          Find the partial fraction decomposition for the rational expression.
\[
\frac{532 x^{2}+76 x}{\left(x^{2}+2\right)(x+6)}
\]
A. \( \frac{40 x-164}{x^{2}+2}-\frac{492}{x+6} \)
B. \( \frac{40 x-164}{x^{2}+2}+\frac{492}{x+6} \)
C. \( \frac{40 x+492}{x^{2}+2}-\frac{164}{x+6} \)
D. \( \frac{40 x}{x+6}+\frac{328}{x^{2}+2} \)

$Find the partial fraction decomposition for the rational expression. (532 x^2+76 x)/((x^2+2)(x+6)) A. (40 x-164)/(x^2+2)-(492)/(x+6) B. (40 x-164)/(x^2+2)+(492)/(x+6) C. (40 x+492)/(x^2+2)-(164)/(x+6) D. (40 x)/(x+6)+(328)/(x^2+2)$

Added by Emily W.

Precalculus

Cynthia Young 2nd Edition

Chapter 8

Instant Answer

Solved by Expert Suzanne W.

Step 1

The given expression is $\frac{532x^2 + 76x}{(x^2 + 2)(x + 6)}$. We need to decompose it into a form that looks like $\frac{Ax + B}{x^2 + 2} + \frac{C}{x + 6}$, where A, B, and C are constants that we need to find. Show more…

Show all steps

Thanks for your feedback!

Find the partial fraction decomposition for the rational expression. \[ \frac{532 x^{2}+76 x}{\left(x^{2}+2\right)(x+6)} \] A. $ \frac{40 x-164}{x^{2}+2}-\frac{492}{x+6} $ B. $ \frac{40 x-164}{x^{2}+2}+\frac{492}{x+6} $ C. $ \frac{40 x+492}{x^{2}+2}-\frac{164}{x+6} $ D. $ \frac{40 x}{x+6}+\frac{328}{x^{2}+2} $