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
x2+4x-32 = (x-4)(x+8) when factored
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
(x+4) (x+6)
x2 - 4
x2+4x+4 = 25 x2+4x+4-25 = 0 x2+4x-21 = 0 (x+7)(x-3) = 0 x = -7 or x = 3
x3 + x2 + 4x + 4 = (x2 + 4)(x + 1)
x2+4x-32 = (x-4)(x+8) when factored
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
(x+4) (x+6)
y = x2 - 4x + 4 can be factored into y = (x-2)(x-2) The repeated factor is 2.
x2 - 4
x2+4x+4 = 25 x2+4x+4-25 = 0 x2+4x-21 = 0 (x+7)(x-3) = 0 x = -7 or x = 3
x2 - 4x - 32 = (x - 8)(x + 4)
(x - 4) or (x + 8)
x(x + 4)(x - 4) or x3 - 16x
X2 + 4X - 5 = 0 what two factor of - 5 add up to 4? (X - 1)(X + 5) ----------------- ( so, X = 1 and X = - 5 )
x(x - 4)
X2 + 4xx(x + 4)=======
x2 + 4x - 32 = (x + 8)*(x - 4)
4x2+4x-8 4(x2+x-2) and (4x+8)(x-1)
64 is the cube of 4 so: x3 + 64 = (x + 4)(x2 - 4x + 16)
6
x3 + 3x2 - 4x -12 x2(x + 3) - 4(x + 3) (x2 - 4)(x+3)
4
x^2+4x=0 x(x+4)=0 x=0 and x+4=0 x=0 and x=-4