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Question
Construct a cubic equation with roots 1, 1, and – 2
Solution
α = 1, β = 1, γ = – 2
α + β + γ = 1 + 1 – 2 = 0
αβ + βγ + γα = 1 – 2 – 2 = – 3
αβγ = 1(1)(– 2) = – 2
x3 – 0x2 – 3x + 2 = 0
∴ x3 – 3x + 2 = 0
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