x2 + 16 - 8x is a perfect square. First, let's correctly arrange the terms:
= x2 - 8x + 16
We can see that the last term is equal to the square of half the coefficient of the second term. This tells us that it's a perfect square, and we can simply say:
= (x - 4)2
We can also work this out using the usual technique for finding factors of quadratic expressions. We need two numbers that add to make -8 and multiply to make 16. That would be two of the same number, -4.:
= x2 - 4x - 4x + 16
= x(x - 4) - 4(x - 4)
= (x - 4)(x - 4)
= (x - 4)2
x + 4
x2 + 5x - 120 can not be factored.
x2 + 8x + 15 = (x + 3) (x + 5).
(x2 plus 40) (x minus 1)
x2 + 9 + 20 = x2 + 29, and can not be factored.I assume though that you mis-wrote your question, and what you in fact want to ask is how to factor x2 + 9x + 20.In that case, the answer is (x + 4)(x + 5).
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).
You can't factor it
That does not factor neatly.
Not factorable
1
x2+10x-336
x2 + 5x - 120 can not be factored.
x2 - 13 + 30 = x2 + 17, which has no real factors.
x2 + 26x + 48 = (x + 24)(x + 2)