Answer
$-2,\pm i,1\pm\sqrt 3i$
Work Step by Step
$P(x)=x^3(x^2+1)+8(x^2+1)=(x^2+1)(x^3+8)=(x^2+1)(x+2)(x^2-2x+4)$
Zeros $-2,\pm i,1\pm\sqrt 3i$
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