If α,β and γ are the roots of the equation x3 + 2x2 + 3x + 1 = 0. F – InterviewSolution

1.	If α,β and γ are the roots of the equation x3 + 2x2 + 3x + 1 = 0. Find the constant term of the equation whose roots are 1β3 + 1γ3 - 1α3, 1γ3 + 1α3 - 1β3 , 1α3 + 1β3 - 1γ3. __
Answer» If $α, β a n d γ$ are the roots of the equation $x^{3}$ + 2 $x^{2}$ + 3x + 1 = 0. Find the constant term of the equation whose roots are $\frac{1}{β^{3}}$ + $\frac{1}{γ^{3}}$ - $\frac{1}{α^{3}}$ , $\frac{1}{γ^{3}}$ + $\frac{1}{α^{3}}$ - $\frac{1}{β^{3}}$ , $\frac{1}{α^{3}}$ + $\frac{1}{β^{3}}$ - $\frac{1}{γ^{3}}$ . __

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