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s^{2}\left(4s+1\right)+7\left(4s+1\right)
Do the grouping 4s^{3}+s^{2}+28s+7=\left(4s^{3}+s^{2}\right)+\left(28s+7\right), and factor out s^{2} in the first and 7 in the second group.
\left(4s+1\right)\left(s^{2}+7\right)
Factor out common term 4s+1 by using distributive property. Polynomial s^{2}+7 is not factored since it does not have any rational roots.