The cubic equation x3 - x2 - 3x - 10 = 0

The cubic equation x3 - x2 - 3x - 10 = 0 has roots α, β, γ.

i. Let u = -α + β + γ. Show that u + 2α = 1, and hence find a cubic equation having roots -α + β + γ, α -β + y, α + β – γ.

ii. State the value of αβγ and hence find a cubic equation having roots 1/βγ, 1/γα, 1/αβ.