x2 - 3 doesn't factor neatly. Applying the quadratic formula, we find two real solutions: Zero plus or minus the square root of three.
x = 1.7320508075688772
x = -1.7320508075688772
This doesn't factor neatly.
However, we can say (sqrt(3))^2 = 3
Hence
x^(2) - (sqrt(3))^2.
This will factor becasue we have two squared terms and a NEGATIVE between them.. NB A positive does NOT factor.
Hence
(x - sqrt(3))(x + sqrt(3)) .
NB The sqrt(3) is 1.732050808.... (It is an Irrational number).
(x+3)(x-3)
(x - 5)(x + 3)
x(x + 3)(x - 4)
2x squared - 5x - 3 = (2x +1)(x -3)
(x - 2)(2x + 3)
(x-3)(x+2)
(x-3)(3x+1)
5(x - 3)(x + 3)
3(x - 2)(x + 2)
x³ + x² - 3x - 3 = (x + 1)(x + √3) (x - √3).
x2 - 4x - 21 = (x-7)(x+3)
x2 - 6x - 27 = (x-9)(x+3)