If α, β, γ are the roots of the equation x3+x+1=0, then the value of α3 β3 γ3
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a
0
b
-3
c
3
d
-1
answer is D.
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Detailed Solution
We know that the roots of the equationax3+bx2+cx+d=0 follows αβγ=-d/aComparing above equation with given equationwe get d=1, a=1So, αβγ=-1 or α3β3γ3=-1.