Answer
possible values of b:
$16,-16,8,-8$
Work Step by Step
If the trinomial $ax^{2}+bx+c$ can be factored, it will be in the form $(x+n)(x+m)$, where
the product of integers n and m is $c$
their sum is $b.$
c is positive, both factors have the same sign.
$\left[\begin{array}{ccc}
\text{pairs of factors} & \text{sum = b} & \\
1,15 & 16 & \\
-1,-15 & -16 & \\
3, 5 & 8 & \\
-3,-5 & -8 &
\end{array}\right]$
possible values of b:
$16,-16,8,-8$