Teaching NVS TGT 2024 Test Series Quantitative Aptitude Algebra Polynomials

If α and β are the zeroes of the polynomial 3x2 + 5x + 7, then \(\frac{1}{α^3}+\frac{1}{β^3}\) is 

1
\(\frac{1910}{2101}\)
2
\(\frac{190}{343}\)
3
\(\frac{37}{82}\)
4
\(\frac{243}{310}\)
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