Answer
not factorable
Work Step by Step
The given expression, $
x^2+4x+12
,$ has $c=
12
$ and $b=
4
.$
The possible factors of $c$ are $
\{ 1,12 \}
,\{ 2,6 \}
,\{ 3,4 \}
\{ -1,-12 \}
,\{ -2,-6 \}
,\{ -3,-4 \}
$. None of these factors give a sum equal to $b$. Hence, the given expression is $\text{
not factorable
.}$