Which answer best describes the complex zeros of the polynomial function? f(x)=x3−x2+6x−6?

As options are not given, you can match your answer with the option.

The equation of the polynomial is ,

       =  x²(x-1)+6(x-1)

       = (x² +6)(x-1)

       = (x+ i√6)(x-i√6)(x-1)→a²+b²=(a+ib)(a-ib), i²=-1

The two complex zeroes are , put x+i√6=0 ∧ x-i√6=0 is -i√6 and i√6.

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