Question

What are the perfect square trinomials?

Answer 1

A perfect square trinomial is

(square of one term) + (square of another term) + (double the product of the two terms)

Answer 2

Let's look at the following trinomial.

X² - 14x + 49

(x - 7) (x - 7)

(x - 7)²

This trinomial would be classified as a perfect square trinomial because it factors as two identical binomials which is (x - 7)². This means that any trinomial that factors as two identical binomials is called a perfect square trinomial.