Which of the following is a factor of 12 x squared minus 4x minus one

The factor of 12x squared minus 4x minus one is (6x + 1) and (2x – 1)

Solution:

Need to determine factors 12 x squared minus 4x minus one

This means that we need to factorize following expression

On splitting the middle term in such a way that sum of two split terms must be -4x and product of two split terms must be we get,

Combining the terms we get

=> (6x + 1) (2x – 1)  

Hence factors of   is (6x + 1) and (2x – 1)