Question

Which equation shows function g in factored form?


g(x) = 2x^2 – 6x – 56

O A. g(x) = 2(x-4)(x + 7)

OB.g(x) = 2(x2-3x-28)

OC. g(x) = (2x + 7)(x-8)

OD. g(x) = 2(x + 4)(x - 7)​

Answer 1

Answer:

$\boxed{\sf Option \ D}$

Step-by-step explanation:

$\sf g(x) = 2x^2-6x-56$

Factorizing using mid term break formula

$\sf g(x) = 2x^2-14x+8x-56\\g(x) = 2x(x-7)+8(x-7)\\g(x) = (2x+8)(x-7)\\g(x) = 2(x+4)(x-7)$