The trinomial expression is
.
The trinomial compare to general trinomial expression:
, So a = 3, b = 8, c = 4.
To find two numbers with a sum of 8 and a product of
.
This trinomial list of the factors of 12, and look for the pair of factors is a sum of 8.
\| Factors of 40 | \Sum of factors | \
| \
4, 3 \3, 4 \6, 2 \2, 6 \ | \
\
7 \7 \8 \8 \ | \
The correct factors are 2 and 6.
To factor trinomials of the form
, find two integers, m and n, with a sum equal to b and a product equal to c.
Then write
.

Group terms with common factors.
\
Combine like terms using distributive property: ac + bc = (a + b)c.
\
Check:
\To check the solution by multiply the two factors.
\
(Using FOIL method)

Combine like terms using distributive property: ac + bc = (a + b)c.
\

The solution is "true".
The solution is
.