For what real values of $c$ is $x^2 + 16x + c$ the square of a binomial? if you find more than one, then list your values separated by commas.

The Square of a Binomial is always a trinomial. In general, you have the following relationship for a square binomial:



The trinomial of our problem is:



So we need to find the real value of  such that this is a square of a binomial. Matching the general form with the trinomial of our problem we have the following equations:



Therefore the square of our binomial is:

Welp life just is hard