x2 + 55x - 700 = (x + 20)(x + 35) 2x2x5x5x7
1,700=699
2,350=348
4,175=171
5,140=135
7,100=93
10,70=60
14,50=36
20,35=15
25,28=3
If you were doing x^2+55x+700 then it would be factorable with 20 and 35 but with a negative in front of the 700 it is prime.
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.
You can't factor it
Not factorable
1
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)