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