That doesn't factor neatly. Applying the quadratic formula, we find two real solutions: -2 plus or minus the square root of 2.
x = -0.5857864376269049
x = -3.414213562373095
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
y = x2 - 4x + 4 can be factored into y = (x-2)(x-2) The repeated factor is 2.
(6 - x)(2 + x)
X2 + 4X + 4 Ask yourself, what factors of 4 add up to 4? (X + 2)(X + 2) or, more commonly expressed as, (X + 2)2
4x2+4x-8 4(x2+x-2) and (4x+8)(x-1)
x3 - 2x2 - 4x + 8 = (x2 - 4)(x - 2) = (x + 2)(x - 2)(x - 2)
4x(x2 - 2)
2(x+1)^2
(x + 2)(x + 2)
x3 + 3x2 - 4x -12 x2(x + 3) - 4(x + 3) (x2 - 4)(x+3)
x3 + 6x2 - 4x - 24 = (x + 6)(x2 - 4) = (x + 6)(x + 2)(x - 2)
Divide all terms by 3 gives x2+4x+4 = (x+2)(x+2) when factored