Which of the following is a factor of 12x² - 4x - 1?
6x - 1, 2x + 1, 2x - 1, None of the above

Solution:

The given equation is a quadratic equation of the form ax² + bx + c. hence

Here a = 12, b = -4, c = -1

The relevant factors of 12 will be 6 and 2

12x² - 4x - 1

12x² - 6x + 2x - 1

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

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

Which of the following is a factor of 12x² - 4x - 1?

Summary:

The factors of 12x² - 4x - 1 are (2x - 1) and (6x + 1)