Fill in the number that makes the polynomial a perfect-square quadratic
x^2+8x+__
16
Explanation:
To make the polynomial a perfect-square quadratic, we need to find the value that completes the square.
In this case, the value that completes the square is half of the coefficient of x, which is (8/2)^2 = 16.
So, the completed perfect-square quadratic is x^2 + 8x + 16.