Answer
not factorable
Work Step by Step
In decreasing order of exponents, the given expression, $
11+w^2-4w
,$ is equivalent to
\begin{array}{l}
w^2-4w+11
.\end{array}
There are no 2 numbers whose product is $ac=
1(11)=11
$ and whose sum is $b=
-4
$ in the expression above. Hence, the given expression is $\text{
not factorable
.}$