milesisaway milesisaway
  • 03-04-2017
  • Mathematics
contestada

Factor completely: 2x2 - 6x - 56

(2x - 14)(x + 4)
(x - 7)(2x + 8)
2(x - 7)(x + 4)
2(x - 4)(x + 7)

Respuesta :

Аноним Аноним
  • 04-04-2017
The correct answer is, C. 2(x-7) (x+4)

I hope this helps. :)

And have a great day. :D
Answer Link
slicergiza slicergiza
  • 24-07-2019

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.

Answer Link

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