ANSWER
A. (x+4)
EXPLANATION
The given binomial is
[tex] {x}^{2} + 12x + 32[/tex]
Split the middle term:
[tex] {x}^{2} + 8x + 4x + 32[/tex]
Factor;
[tex]x(x + 8) + 4( x + 8)[/tex]
Factor further;
[tex](x + 8)(x + 4)[/tex]
Therefore
[tex](x + 4)[/tex]
is a factor.
