Question

Solve a quadratic equation by factorization: 2x² + x - 6 = 0.

Answer 1

Answer:

$(2x -3)(x + 2)$

Step-by-step explanation:

$2x^{2} * -6 = -12x^{2}$

find the factors that can multiply to get 12x² and add to get +x

$= 4x * -3x\\2x^{2} + 4x -3x -6$

bring out the factors

$2x(x + 2) -3(x + 2)\\(2x -3)(x + 2)$