The polynomial is
.
The GCF of
is 2, so factor it out.

In the polynomial
, since the lost term 12 is not a perfect square, this is not a perfect square terminal.
The general quadratic expression form is
.
In the above trinomial,
.Since
is negative, so the factors m and p have opposite signs.So either m or p is negative, but not both.
Since
is positive, the factor with the greater absolute value is also positive.
You need to find one factor of each pair is negative with a sum of 6 and a product of
.
Make a list of the factors of
and look for the of factors with the sum of 10.

There is no factor with a sum of 6.So the quadratic polynomial cannot be factored using integers.Threfore,
is prime.
The factors form of polynomial is
.