You can't factor it
x3 + x2 + 4x + 4 = (x2 + 4)(x + 1)
x + 4
x2(x3 + 1) is the best you can do there.
Factor x2 plus 12xp plus 36p2 is (x+6p)(x+6p).
That does not factor neatly.
1
Not factorable
x2 + 5x - 120 can not be factored.
x2+10x-336
x2 - 13 + 30 = x2 + 17, which has no real factors.
x2 + 7x + 6 = (x + 6) (x + 1)
x2 + 6x + 8 = (x + 4)(x + 2)