If a,b,c and d are the roots of the equa...

If a,b,c and d are the roots of the equation
`x^(4)+2x^(3)+4x^(2)+8x+16=0` the value of the determinant `|{:(1+a,1,1,1),(1,1+b,1,1),(1,1,1+c,1),(1,1,1,1+d):}|` is

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