Verified Answer :

A is the correct answer. I just did gues and check so I don't know the correct method

Answer:

Option A. \(1\)

Step-by-step explanation:

we know that

A perfect square trinomial is equal to

\((x+a)^{2}=x^{2}+2xa+a^{2}\)

In this problem we have

\(x^{2}+2x\)

equate the equations and solve for a

\(x^{2}+2x=x^{2}+2xa+a^{2}\)

so

\(2x=2xa\)

\(a=1\)

therefore

the perfect square trinomial is equal to \((x+1)^{2}\)