Rewrite this expression into Factored Form \[ y=2 x^{2}-4 x-30 \] \( y=2(x+5)(x-3) \) \( y=2(x-7)(x+4) \) \( y=2(x+3)(x-5) \) \( y=2(x-10)(x+6) \)

To factor the expression \(y = 2x^2 - 4x - 30\), we first look for common factors. We see that \(2\) can be factored out from the entire polynomial, giving us \(y = 2(x^2 - 2x - 15)\). Next, we need to factor the quadratic \(x^2 - 2x - 15\). This factors into \((x - 5)(x + 3)\). So, our factored form is \(y = 2(x - 5)(x + 3)\). Now, let's check our options again: none of them match exactly! However, if we realize the factorization gives us \(y = 2(x - 5)(x + 3)\), that aligns with the option \(y = 2(x + 3)(x - 5)\). Hence, this option is indeed correct, although presented in a slightly different order. So, the correct choice is: \(y = 2(x + 3)(x - 5)\)