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Question
Construct a cubic equation with roots 1, 2 and 3
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Solution
α = 1, β = 2, γ = 3
α + β + γ = 6
αβ + βγ + γα = 2 + 6 + 3 = 11
αβγ = 6
x3 – (α + β + γ)x2 + (αβ + βγ + γα)x – αβγ = 0
x3 – 6x2 + 11x – 6 = 0
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