Question
Given that $z=1-i \sqrt{3}$ is a zero of the polynomial $f(x)=3 x^{3}-4 x^{2}+8 x+8$ find the other zeros.
Step 1
Since the polynomial has real coefficients, if a complex number is a root, then its complex conjugate is also a root. The complex conjugate of $z = 1 - i\sqrt{3}$ is $z^* = 1 + i\sqrt{3}$. Show more…
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