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Question Number 10353 by j.masanja06@gmail.com last updated on 05/Feb/17

$$\mathrm{show}\mathrm{that}{\alpha }^4=-3\mathrm{h}{\alpha }^2-\mathrm{g}\alpha \mathrm{and}\mathrm{deduce}$$$$\mathrm{that}\mathrm{\Sigma }{\alpha }^4=-3\mathrm{h}\mathrm{\Sigma }{\alpha }^2-\mathrm{g}\mathrm{\Sigma }\alpha \mathrm{and}\mathrm{find}$$$$\mathrm{\Sigma }{\alpha }^2,\mathrm{\Sigma }{\alpha }^3,\mathrm{\Sigma }{\alpha }^4\mathrm{in}\mathrm{term}\mathrm{of}\mathrm{g}\mathrm{and}\mathrm{h}.$$

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