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7\left(2z^{17}+3z^{10}-2z^{6}\right)
Factor out 7.
z^{6}\left(2z^{11}+3z^{4}-2\right)
Consider 2z^{17}+3z^{10}-2z^{6}. Factor out z^{6}.
7z^{6}\left(2z^{11}+3z^{4}-2\right)
Rewrite the complete factored expression. Polynomial 2z^{11}+3z^{4}-2 is not factored since it does not have any rational roots.