Answer:
We conclude that 'None of the above' is the correct answer.
Explanation:
Given the expression
![7x^2\:-\:12x\:-\:4](https://img.qammunity.org/2021/formulas/mathematics/college/hwtyxgfap9kwi9jmct6krbpaut4ziv9qhu.png)
Breaking the expression into groups
![7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)](https://img.qammunity.org/2021/formulas/mathematics/college/nob6bg9cy9him7pnzg0gklthb8jqskb7zp.png)
Factor out
from
![=x\left(7x+2\right)](https://img.qammunity.org/2021/formulas/mathematics/college/8nte29ori78v54fetszssaxhvraqz98v0h.png)
Factor out -2 from
![\left(-14x-4\right)](https://img.qammunity.org/2021/formulas/mathematics/college/b43hmtcun8vm8ptiq7khyha0o878nahgod.png)
![=-2\left(7x+2\right)](https://img.qammunity.org/2021/formulas/mathematics/college/2i14fj888z1k8j3p0cmmxtbshytj2mujb8.png)
so the expression becomes
![7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)](https://img.qammunity.org/2021/formulas/mathematics/college/nob6bg9cy9him7pnzg0gklthb8jqskb7zp.png)
![=x\left(7x+2\right)-2\left(7x+2\right)](https://img.qammunity.org/2021/formulas/mathematics/college/xsfxdtj3iyzkpz78fhs7qhejddqdehtbwg.png)
Factor out the common term
![7x+2](https://img.qammunity.org/2021/formulas/mathematics/college/bkn8fa1xckc27spgp3sokp7tjaadxw1crq.png)
![=\left(7x+2\right)\left(x-2\right)](https://img.qammunity.org/2021/formulas/mathematics/college/c7n71fuxo0yt18y89gync8dnphxu75828p.png)
Therefore, from the given options, we conclude that 'None of the above' is the correct answer.