Question

What number should be added to the expression x2+2x to change it into a perfect square trinomial?

Answer 1

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 $(x+1)^{2}$

Answer 2

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