Which expression represents x² + 8x + 16 in factored form?
We are looking for two things that sum to 8 and multiply to 16
1 + 7 1 * 7 = 7 no good
2 + 6 2* 6 = 12 no good
3 + 5 3 * 5 = 15 no good
4 + 4 4 * 4 = 16 this is what we need
So.....we have
(x + 4) (x + 4) = (x + 4)2