To find the number to add to x^2 + 8x to make it a perfect square trinomial, we take half of the coefficient of the x term (8) and square it.
Half of 8 is 4, and 4 squared is 16.
Therefore, we need to add 16 to x^2 + 8x to make it a perfect square trinomial.
The trinomial as the square of a binomial is:
(x + 4)^2 = x^2 + 8x + 16
Find the number to add to x^2+8x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.
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