- #1
songoku
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Homework Statement
If α, β and γ are roots of cubic polynomial and:
αβγ = 6
α2+β2+γ2=20
α3+β3+γ3=121
Find the equation of cubic polynomial
Homework Equations
vieta
The Attempt at a Solution
The equation is in the form:
x3 - (α+β+γ)x2 + (αβ + αγ + βγ) x - αβγ = 0
But I don't know how to find α+β+γ and αβ + αγ + βγ. Thanks