The polynomial x^6+4x^5+3x^4+2x^3+x+1 is...

The polynomial `x^6+4x^5+3x^4+2x^3+x+1` is divisible by_______ where `omega` is one of the imaginary cube roots of unity. (a) `x+omega` (b) `x+omega^2` (c) `(x+omega)(x+omega^2)` (d) `(x-omega)(x-omega^2)`

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