x2 + 4x + 6 can not be factored. If you want, you can reduce it to an expression with a single x term by comleting the square: x2 + 4x + 6 = x2 + 4x + 4 + 2 = (x + 2)2 + 2
4x(x2 - 2)
(x + 2)(x + 2)
y = x2 - 4x + 4 can be factored into y = (x-2)(x-2) The repeated factor is 2.
x2 - 4
4x-x2 = 2
x2 - 4x - 32 = (x - 8)(x + 4)
(6 - x)(2 + x)
Say you have y=x2 -4x +4 y=(x-2)(x-2) x*x=x2 x*-2=-2x -2*x=2x -2*-2=4 x2 -4x +4
(x + 1) and (x + 2) are monomial factors of the polynomial x2 + 3x + 2 (x + 1) and (x + 3) are monomial factors of the polynomial x2 + 4x + 3 (x + 1) is a common monomial factor of the polynomials x2 + 3x + 2 and x2 + 4x + 3
x3 - 4x = x(x2 - 4) = x(x + 2)(x - 2)
x2 + 4x - 96 = (x - 8)(x + 12).