Answer
$(x+2)(x+4)$
Work Step by Step
Using factoring by grouping, the given expression, $
x^2+2x+4x+8
,$ is equivalent to
\begin{array}{l}\require{cancel}
(x^2+2x)+(4x+8)
\\\\=
x(x+2)+4(x+2)
\\\\=
(x+2)(x+4)
.\end{array}
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