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4\left(7j^{4}-3j^{5}-5j^{3}\right)
Factor out 4.
j^{3}\left(7j-3j^{2}-5\right)
Consider 7j^{4}-3j^{5}-5j^{3}. Factor out j^{3}.
4j^{3}\left(7j-3j^{2}-5\right)
Rewrite the complete factored expression. Polynomial 7j-3j^{2}-5 is not factored since it does not have any rational roots.