The answer is A. x + 2 is a factor of P(x).
The factor theorem states that if [tex]x-a[/tex] is a factor of a polynomial [tex]P(x)[/tex], then [tex]P(a)=0[/tex]. Conversely, if [tex]P(a)=0[/tex], then [tex]x-a[/tex] is a factor of [tex]P(x)[/tex].
Given that [tex]P(-2)=0[/tex], this implies that [tex]x-(-2)=x+2[/tex] is a factor of [tex]P(x)[/tex].