They want to know if they have any factors. for the first one, 5x^2 + 34x +24, we look at the factors of 5 and 24 to see if their sums will equal 34. In this case they do so this is not prime...(X+6)(5X+4) are factors. (4x^2 + 38x + 70) has factors of (x+7) (4x+10). The last two are prime because they can not be factored down.