x^2+25x-100 is not factorable because there are not numbers that when multiplied equal -100 and when added equal 25.
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x2 + 9 = (x + 3i)(x - 3i) The answer is based on a knowledge of imaginary and complex numbers where i2 = -1
x + 4
x2 + 5x - 120 can not be factored.
(x2 plus 40) (x minus 1)
x2 + 8x + 15 = (x + 3) (x + 5).