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If at least one root of the equation x^3...

If at least one root of the equation `x^3+ax^2+bx+c=0` remains unchanged, when a, b and c are decreased by one, then which one of the following is always a root of the given equation ?

A

1

B

`-1`

C

`omega`, an imaginary cube root of unity

D

l

Text Solution

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The correct Answer is:
C
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