Answer: B) [tex]2x^2 + 8x-24 = 0[/tex]
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
[tex]x^2 -2x +6x -12=0[/tex]
Combining like terms, we get
[tex]x^2+4x-12=0[/tex]
Let us check 2nd option now.
[tex]2x^2 + 8x-24 = 0[/tex]
Factoring out 2, we get
[tex]2(x^2+4x-12)=0[/tex].
[tex]2x^2 + 8x-24 = 0[/tex]
