Answer: Your answer is almost correct, but there is a small mistake.
The correct factored form of the polynomial equation 6x^2 + 8x^2 - 4 is:
2(3x^2 + 4x^2 - 2)
Now, we can simplify the expression inside the parentheses by factoring out the greatest common factor, which is 1:
2(x^2(3+4) - 2)
2(7x^2 - 2)
So the final factored form of the polynomial equation is:
2(7x^2 - 2)
Therefore, your original attempt was on the right track, but you just missed the factorization of the 7x^2 term.