Som of Zeroes of polynomial x3-2x2+3x-4
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Step-by-step explanation:
Given that α, β, γ are the roots of x3 + 2x2 + 3x + 4 = 0
Compare with x3 + bx2 + cx + d = 0
b = 2,
c = 3,
d = 4
α + β + γ = -6 = -2
αβ + βγ + γα = c = 3
αβγ = -d = -4
Given roots are 2α, 2β, 2γ
2α + 2β + 2γ = 2
(α + β + γ) = 2 (-2) = -4
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