If alpha beta and gama are the zeroes of polynomial ax^3+bx^2+cx+d then
1/alpha+1/beta+1/gamma is
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If α, β, γ are the zeroes of the polynomial p(x) = ax³+bx²+cx+d then,
α+β+γ = -b/a
αβ+βγ+γα = c/a
αβγ = -d/a
1/α + 1/β + 1/γ
= (βγ+αγ+αβ) / αβγ
= (c/a) / (-d/a)
= -c/d
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