x4+6x3-2x-12 (x3-2)(x+6)
(-2)^4 = -2 x -2 x-2 x-2 = +16 ( a minus times a minus is plus)
That factors to 5(x - 4)(x + 4)(x2 + 16)
x4-49 is the difference of two squares when factored as (x2-7)(x2+7)
The idea is to replace every "x" by "3", and then do the calculations.
(x - 3)(x + 3)(x2 + 9)
(w - 2)(w + 2)(w^2 + 4)
x4+6x3-2x-12 (x3-2)(x+6)
x4 - 1 = (x2 + 1)(x + 1)(x - 1).
9n3
(-2)^4 = -2 x -2 x-2 x-2 = +16 ( a minus times a minus is plus)
y4
-3(x - 3)(x + 3)(x2 + 9)
-24 = -2 x -2 x -2 x -2 = 16
That factors to 5(x - 4)(x + 4)(x2 + 16)
A 7th degree polynomial.
x = plus or minus two thirds