# How can I decompose this 7th-degree polynomial fraction into partial fractions? [closed]

How can I use partial-fraction decomposition for this fraction?

$f(x)=\dfrac{1}{1+x^{7}}$

## closed as off-topic by C. Falcon, Namaste, TastyRomeo, zhoraster, pjs36Jan 15 '17 at 17:43

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The roots of $x^7+1$ are $\{-1, -\zeta, -\zeta^2,-\zeta^3,-\zeta^4,-\zeta^5,-\zeta^6 \}$ where $\zeta = \cos(2\pi/7)+i\sin(2\pi/7)$.