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10\left(5c^{4}+4c^{3}-3c\right)
Factor out 10.
c\left(5c^{3}+4c^{2}-3\right)
Consider 5c^{4}+4c^{3}-3c. Factor out c.
10c\left(5c^{3}+4c^{2}-3\right)
Rewrite the complete factored expression. Polynomial 5c^{3}+4c^{2}-3 is not factored since it does not have any rational roots.