The trinomial expression is
.
The trinomial compare to general trinomial expression:
, So a = 9, b = 12, c =
4.
To find two numbers with a sum of 12 and a product of
.
This trinomial list of the factors of
36, and look for the pair of factors is a sum of 12.
Factors of 36 | \
Sum of factors | \
| \
6, 3, | \
\
5 \0 \
| \
There are no factors with a sum of 12.
\Therefore,
cannot be factored using integers.
Thus,
is a prime polynomial.
The trinomial is a prime.