- #1

songoku

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- 340

## Homework Statement

If α, β and γ are roots of cubic polynomial and:

αβγ = 6

α

^{2}+β

^{2}+γ

^{2}=20

α

^{3}+β

^{3}+γ

^{3}=121

Find the equation of cubic polynomial

## Homework Equations

vieta

## The Attempt at a Solution

The equation is in the form:

x

^{3}- (α+β+γ)x

^{2}+ (αβ + αγ + βγ) x - αβγ = 0

But I don't know how to find α+β+γ and αβ + αγ + βγ. Thanks