Question

Factor completely: 2x2 - 6x - 56

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

Answer 1

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

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Answer 2

2(x - 7)(x + 4)

Explanation:

Given expression is,

`2x^2 - 6x - 56`

By the middle term splitting,

`=2x^2-(14-8)x-56`

`=2x^2-14x+8x-56`

`=2x(x-7)+8(x-7)`

`=(2x+8)(x-7)`

`=2(x-7)(x+4)`

Since, further simplification is not possible,

Hence, third option is correct.