If \( \alpha \) and \( \beta \) are the zeros of the quadratic poly...

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If \( \alpha \) and \( \beta \) are the zeros of the quadratic polynomial \( f(t)=t^{2}-4 t+3 \), find the value of \( \alpha^{4} \beta^{3}+\alpha^{3} \beta^{4} \).
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