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d^{2}\left(d+4\right)+5\left(d+4\right)
Do the grouping d^{3}+4d^{2}+5d+20=\left(d^{3}+4d^{2}\right)+\left(5d+20\right), and factor out d^{2} in the first and 5 in the second group.
\left(d+4\right)\left(d^{2}+5\right)
Factor out common term d+4 by using distributive property. Polynomial d^{2}+5 is not factored since it does not have any rational roots.