Question

What is a factor of 12x2 − 4x − 1?

6x-1
2x+1
2x-1
None of the above

Answer 1

2x-1 is your answer. there is no addition in the problem so the secound 1 is eliminated and so is the 1st one because there is no 6.

Answer 2

The correct option is 3.

Explanation:

The given expression is

`12x^2-4x-1`

Write the middle term as -6x+2x.

`12x^2-6x+2x-1`

`(12x^2-6x)+(2x-1)`

Taking out the greatest common factor from each parenthesis.

`6x(2x-1)+1(2x-1)`

Taking out the common factors.

`(2x-1)(6x+1)`

It means (2x-1) and(6x+1) are two factors of the given expression. Therefore the correct option is 3.