Answer:
Step-by-step explanation:
A) The equation x- 4 = 16 can be used to solve for a solution of the given equation.
From: x- 4 = 16, we find x= 4+16, or x=20.
Replace x=20 for the equation (x-4)(x+2)=16
we find that: (20-4)(20+2) = 16*22 [tex]\neq[/tex] 16
So A is wrong.
B) The standard form of the equation is x2 - 2x - 8 = 0.
(x - 4)(x + 2) = 16
or x^2 +2x -4x -8 =16
or x^2 -2x -8 -16 =0
or x^2 -2x -24=0
Then, B is wrong.
C) The factored form of the equation is (x + 4)(x - 6) = 0.
We can develop: (x + 4)(x - 6) = 0
or x^2 -6x +4x -24=0
or x^2 -2x -24 =0
So C is right.
D) One solution of the equation is x = -6.
Replace x=-6 we have (x-4)(x+2) = (-6 -4)(-6+2) = (-10)(-4) = 40[tex]\neq[/tex] 16.
So D is wrong.
Finally, C is right.
