Here is the procedure for factoring any quadratic trinomial
using the completing the square method:
 Manipulate the quadratic trinomial
a x^{ 2} + b x + c
into completed square form using the completing the square method
(click here to see the details):
 Write the second term inside the big brackets as the square of
its own square root:
 The result is a difference of squares inside the big brackets,
which can be factored using the difference of squares formula:
A^{ 2} − B^{ 2}
= (A + B) (A − B)
In this formula let:
The final result is that the quadratic trinomial
a x^{ 2} + b x + c
can be factored as:
