The polynomial is
.
The general quadratic expression form is
.
In the above trinomial,
.
You need to find two numbers with a sum of 22 and a product of
.
Make a list of the factors of 40 and look for the of factors with the sum of 22.
\
The correct factors are
.
Apply the pattern:
.

Group terms with common factors.
\
Factors the GCF from each group.
\
Notice that
is common in both groups, so it becomes the GCF.
Apply distributive property:
.

The factors of polynomial is
.