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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)​

Which equation shows function g in factored formgx 2x2 6x 56O A gx 2x4x 7OBgx 2x23x28OC gx 2x 7x8OD gx 2x 4x 7 class=

Respuesta :

ujalakhan18

Answer:

[tex]\boxed{\sf Option \ D}[/tex]

Step-by-step explanation:

[tex]\sf g(x) = 2x^2-6x-56\\[/tex]

Factorizing using mid term break formula

[tex]\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)[/tex]