Factorising a complex polynomial over C

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If $f(z)=z^3+7z^2+16z+10$, find all factors of $f(z)$ over $C$. If I had at least one zero or factor I would be able to find the others, but I just don't know how to start.

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Observe that $f(-1) = 0$. So $(z + 1)$ is a factor. The rest is easy.