Further Maths: Roots of Polynomials Question

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Please help thanks...

The equation:
y^3 - y - 1 = 0
has roots 2α + 1, 2β + 1, 2γ + 1.

Can you see how to rearrange that equation in a more useful way?

The equation:
8x^3 + 12x^2 + 4x - 1 = 0
has roots α, β, γ.

The equation:
y^3 - y - 1 = 0
has roots 2α + 1, 2β + 1, 2γ + 1.

The sum (2α + 1)^n + (2β + 1)^n + (2γ + 1)^n is denoted by S(n). Find the values of S(3) and S(−2).

Please help thanks...

Let α=a, β=b and γ=c for typing conventions.


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