Question

Factor completely: 2x2 - 6x - 56

Answer 1

Answer:

2(x - 7)(x + 4)

Step-by-step 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.

Answer 2

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

I hope this helps. :)

And have a great day. :D