Question

which of the following is the correct factorization of 2x^2-5x-12=0

Answer 1

Step-by-step explanation:

$2 {x}^{2} - 5x - 12 = 0 \\ \\ 2 {x}^{2} - 8x + 3x - 12 = 0 \\ \\ 2x(x - 4) + 3(x - 4) = 0 \\ \\ (2x + 3)(x - 4) = 0 \\ \\ x = 4 \: \: \: \: \: \: \: \: \: \: \: x = - \frac{3}{2}$