Partial Fractions

• Dec 2nd 2007, 06:06 PM
acc100jt
Partial Fractions
Express $\displaystyle \frac{6x^{2}+3-2x^{3}}{x^{2}(2x^{2}+1)}$ as partial fractions.

Which of the following shall I use?

1. $\displaystyle \frac{6x^{2}+3-2x^{3}}{x^{2}(2x^{2}+1)}=\frac{Ax+B}{x^{2}}+\frac{ Cx+D}{2x^{2}+1}$

2. $\displaystyle \frac{6x^{2}+3-2x^{3}}{x^{2}(2x^{2}+1)}=\frac{A}{x}+\frac{B}{x^{2 }}+\frac{Cx+D}{2x^{2}+1}$

I understand the two are equivalent, but which one is a better answer?

Thanks for those who help :)
• Dec 2nd 2007, 08:18 PM
Jhevon
Quote:

Originally Posted by acc100jt
Express $\displaystyle \frac{6x^{2}+3-2x^{3}}{x^{2}(2x^{2}+1)}$ as partial fractions.

Which of the following shall I use?

1. $\displaystyle \frac{6x^{2}+3-2x^{3}}{x^{2}(2x^{2}+1)}=\frac{Ax+B}{x^{2}}+\frac{ Cx+D}{2x^{2}+1}$

2. $\displaystyle \frac{6x^{2}+3-2x^{3}}{x^{2}(2x^{2}+1)}=\frac{A}{x}+\frac{B}{x^{2 }}+\frac{Cx+D}{2x^{2}+1}$

I understand the two are equivalent, but which one is a better answer?

Thanks for those who help :)

use the second one