Question

Which of the following is a factor of 7x2 - 12x - 4? (6 points)

O 7x - 2
O x + 2
Ox-4
O None of the above

Answer 1

Answer: None of the above.

Step-by-step explanation: I took the test.

Answer 2

We conclude that 'None of the above' is the correct answer.

Explanation:

Given the expression

`7x^2\:-\:12x\:-\:4`

Breaking the expression into groups

`7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)`

Factor out
`x` from
`7x^2\:+\:2x`

`=x\left(7x+2\right)`

Factor out -2 from
`\left(-14x-4\right)`

`=-2\left(7x+2\right)`

so the expression becomes

`7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)`

`=x\left(7x+2\right)-2\left(7x+2\right)`

Factor out the common term
`7x+2`

`=\left(7x+2\right)\left(x-2\right)`

Therefore, from the given options, we conclude that 'None of the above' is the correct answer.