Answer:
Option A. [tex]1[/tex]
Step-by-step explanation:
we know that
A perfect square trinomial is equal to
[tex](x+a)^{2}=x^{2}+2xa+a^{2}[/tex]
In this problem we have
[tex]x^{2}+2x[/tex]
equate the equations and solve for a
[tex]x^{2}+2x=x^{2}+2xa+a^{2}[/tex]
so
[tex]2x=2xa[/tex]
[tex]a=1[/tex]
therefore
the perfect square trinomial is equal to [tex](x+1)^{2}[/tex]
