Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic. z2 + 25z +

Answer 1

25 divided by 2 is 25/2 (or 12.5). Squaring 25/2 gives us 25²/2² = 625/4 (or 156.25)

This results in the square which is written as (z + 25/2)² or, if you want to use decimals, (z + 12.5)²

Answer 2

To complete the square, assuming the coefficient of the squared term is 1 (as it is here), we simply need to divide the coefficent of the second term by 2 and square the result.

In this case, (25/2)² or 625/4

The perfect square polynomial would then be written as:

1. z² + 25z + 625/4 or
2. (z + 25/2)² in factored form