Question 20289
A quick way to tell if the trinomial is a perfect square is:
 Is the square of half the x-coefficient equal to the constant term?

1) The square of half the x-coefficient is: {{{(8/2)^2 = 4^2}}} = 16, so the answer is yes!

Factor: {{{x^2 + 8x + 16 = (x + 4)^2}}}

2) The square of half the x-coefficient is: {{{(10/2)^2 = 5^2}}} = 25, so the answer is yes!

Factor: {{{n^2 - 10n + 25 = (n - 5)^2}}}