Question

Which equation is true for x = –6 and x = 2?

Answer 1

Answer: B) $2x^2 + 8x-24 = 0$

Step-by-step explanation: We are given solutions x = -6 and x = 2.

Therefore, factors of the equation would be

x+6 and x-2.

So, the equation would be in form:

(x+6)(x-2)=0

By foil, we get

$x^2 -2x +6x -12=0$

Combining like terms, we get

$x^2+4x-12=0$

Let us check 2nd option now.

$2x^2 + 8x-24 = 0$

Factoring out 2, we get

$2(x^2+4x-12)=0$.

Therefore, correct option is 2nd option.

$2x^2 + 8x-24 = 0$

Answer 2

The second option is your answer 2x2+8x-24