Question

Find the number to add to x2+14x
to make it a perfect square trinomial. Write that trinomial as the square of a binomial.

Answer 1

Take half of 14 and square it: (14/2)^2 = 7^2 = 49.
So add 49. The perfect square trinomial is x^2 + 14x + 49, which equals (x + 7)^2.