I need help with these two problems!!
Write the partial fraction decomposition for the rational expression. Check your result algebraically and graphically using a graphing utility.
1. (x^2-1) / (x(x^2 + 1))
2. (x^2) / (x^4 - 2x^2 - 8)
I need help with these two problems!!
Write the partial fraction decomposition for the rational expression. Check your result algebraically and graphically using a graphing utility.
1. (x^2-1) / (x(x^2 + 1))
2. (x^2) / (x^4 - 2x^2 - 8)
1.$\displaystyle \frac{x^2}{x^4 - 2x^2 - 8}$
$\displaystyle \frac{x^2}{(x^2+2)(x+2)(x-2)} = \frac{A}{x-2} + \frac{B}{x+2} + \frac{Cx +D}{x^2+2}$
2. $\displaystyle \frac{x^2-1}{x(x^2+1)}$
$\displaystyle \frac{x^2-1}{x(x^2+1)} = \frac{A}{x} + \frac{Bx +c}{x^2+1}$
Can you finish up?