Answer:
prime
not factorable over the reals
Explanation:
30x^2+40xy+51y^2 is not factorable (also know as prime)
because the discriminant is negative.
That is when I computed b^2-4ac, in this case 40^2-4(30)(51)=-4520.
If the discriminant is negative, then it isn't factorable over the reals.