Question

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

Answer 1

Answer:

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

Step-by-step 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.