In some cases recognizing some common patterns in the trinomial will help you
to factor it faster. For example, we could check whether the trinomial is a perfect square.
1. The first term and the last term are perfect squares
2. The coefficient of the middle term is twice the square root of the last term
multiplied by the square root of the coefficient of the first term.
When we factor a perfect square trinomial, we will get
(ax)2 + 2abx + b2 = (ax + b)2
The perfect square trinomial can also be in the form: