Alphabet Roots

Calculus Level 3

If $$\alpha$$ and $$\beta$$ are roots of the equation $$x^{2}-px+q=0$$ then

$$(\alpha+\beta)x-\frac{1}{2}(\alpha^{2}+\beta^{2})x^{2}+\frac{1}{3}(\alpha^{3}+\beta^{3})x^{3}- \ldots$$ is equal to?

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