Resolve \( z^{5}+1 \) into linear and quadratic factors with real \...

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Resolve \( z^{5}+1 \) into linear and quadratic factors with real
\( \mathrm{P} \) coefficients. Hence, or otherwise deduce that,

W \( 4 \sin \left(\frac{\pi}{10}\right) \cdot \cos \left(\frac{\pi}{5}\right)=1 \).
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