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# Which of the following is a factor of 12x^{2} - 4x - 1?

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

**Solution:**

The given equation is a __quadratic equation__ of the form ax^{2} + bx + c. hence

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

The relevant __factors__ of 12 will be 6 and 2

12x^{2} - 4x - 1

12x^{2} - 6x + 2x - 1

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

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

## Which of the following is a factor of 12x^{2} - 4x - 1?

**Summary:**

The factors of 12x^{2} - 4x - 1 are (2x - 1) and (6x + 1)

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