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Question

If α,β,γ are the roots of x3x2+8x+6=0 the (1+α)(1+β)(1+γ)=

A
4
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B
12
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C
14
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D
24
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Solution

The correct option is A 4
x3x2+8x+6=0
Roots are α,β,γ
α+β+γ=1
αβ+βγ+γα=8
αβγ=6
(1+α)(1+β)(1+γ)=(1+α+β+αβ)(1+γ)
=1+α+β+γ+αβ+βγ+γα+αβγ
=1+1+86
=4

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