We know that if α , β and γ are the roots of the equation ax3 + bx2 +cx +d
Then the product of the roots = α β γ = - (d/a)
and sum of the product of the roots taking two at a time is ( α β + β γ + α γ ) = c/a
and the sum of the roots ( α + β + γ ) = - (b/a)
So, in the given problem α β γ = -1 ( α β + β γ + γ α ) = -8 and ( α + β + γ ) = -3
Now, ( α +1) ( β +1)( γ +1) = α β γ +( α β + β γ + α γ ) + ( α + β + γ ) + 1 = (-1) + (-8) + (-3) + 1 = -11
So, the equation whose roots are ( α +1) , ( β +1) , ( γ +1) will be of the form y3 + by2 + cy +11
which matches with option A
So, Option A will be the answer.