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5\left(33z^{8}+10z^{7}+25z^{6}\right)
Factor out 5.
z^{6}\left(33z^{2}+10z+25\right)
Consider 33z^{8}+10z^{7}+25z^{6}. Factor out z^{6}.
5z^{6}\left(33z^{2}+10z+25\right)
Rewrite the complete factored expression. Polynomial 33z^{2}+10z+25 is not factored since it does not have any rational roots.