Respuesta :

The correct answer is, C. 2(x-7) (x+4)

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Answer:

2(x - 7)(x + 4)

Step-by-step explanation:

Given expression is,

[tex]2x^2 - 6x - 56[/tex]

By the middle term splitting,

[tex]=2x^2-(14-8)x-56[/tex]

[tex]=2x^2-14x+8x-56[/tex]

[tex]=2x(x-7)+8(x-7)[/tex]

[tex]=(2x+8)(x-7)[/tex]

[tex]=2(x-7)(x+4)[/tex]

Since, further simplification is not possible,

Hence, third option is correct.