Answer:
25 should go in the blank.
Explanation:
You can factor and get (x + 5)^2, a perfect square trinomial when put into standard form.
x2 + 10x +25 = (x+5)^2
x^2 + 10x
To complete the square
Take the coefficient of x
10
Divide by 2
10/2 =5
Square it
5^2 =25
Add it
x2 + 10x +25
The coefficient of x divided by 2 is the factor we add to x inside the square
(x+5)^2
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