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