Question

Which statement is true about the equation (x – 4)(x + 2) = 16?

The equation x - 4 = 16 can be used to solve for a solution of the given equation.
The standard form of the equation is x2 - 2x - 8 = 0.
The factored form of the equation is (x + 4)(x – 6) = 0.
One solution of the equation is x=-6.

Answer 1

The factored from of the equation is (x+4)(x-6)=0.

Explanation:

When solving this problem, we need to find the factored form of this problem. Remember that in factored form, the right-hand side of the equation must equal to 0.

We can simply convert the left-hand side to standard form first:

(x-4)(x+2)=16 --> x²-2x-8= 16.

Now, to set the right-hand side of the equation to 0, we must subtract -16 from both sides:

x²-2x-24=0.

Now, if we convert this to factored form, we will get:

(x+4)(x-6)= 0.

All of the other statements are false. This is the only true statement.