Partial Fractions

**acc100jt** · December 2nd 2007, 06:06 PM

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

Which of the following shall I use?

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

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

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

Thanks for those who help

**Jhevon** · December 2nd 2007, 08:18 PM

Originally Posted by acc100jt

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

Which of the following shall I use?

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

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

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

Thanks for those who help

use the second one

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