Answer
$$(x+4)(x+1)$$
Work Step by Step
Factor
$$x^{2}+5x+4.$$
Find numbers that are factors of $4$ and sum to $5$:
$$(4)(1)=4;\space 4+1=5.$$
The polynomial is a product of two binomials:
$$x^{2}+5x+4=(x+4)(x+1).$$
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