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let |{:(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2...

let `|{:(1+x,x,x^(2)),(x,1+x,x^(2)),(x^(2),x,1+x):}|=(1)/(6)(x-alpha_(1))(x-alpha_(2))(x-alpha_(3))(x-alpha_(4))` be an identity in x, where `alpha_(1),alpha_(2),alpha_(3),alpha_(4)` are independent of x. Then find the value of `alpha_(1)alpha_(2)alpha_(3)alpha_(4)`

A

N=3

B

Z=-1

C

N=0

D

Z=1

Text Solution

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The correct Answer is:
A, D
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