First let's rearrange it in standard form
18x^2 + 21x - 9
Now let's pull out the GCF which is 3
3(6x^2 + 7x - 3)
Now let's factor what's inside the parenthesis
3(3x - 1)(2x + 3)
the discriminant b^2 - 4ac = 21^2 - 4(18)(-9) = 1089
sqrt(1089) = 33
Therefore the discriminant is a perfect square and the polynomial is NOT prime.
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