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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

2 Answers

3 votes

Answer: None of the above.

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

User Hamed F
by
6.2k points
4 votes

Answer:

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.

User Dave Methvin
by
6.3k points
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