12x² - 11x+2

How do I factor this?

(3x-2) (4x-1)

Step-by-step explanation:

1. take the a and the c value and multiply them together to isolate x^2. it should be x^2 - 11 + 24.

2. find what multiplies to 24 and adds up to - 11. its - 8 and - 3.

3. factor like normal and get (x-8) (x-3)

4. divide the - 8 and - 3 in the factors by 12 (the original a value)

-8/12 = - 2/3 and - 3/12 = - 1/4.

5. the denominator gets moved to the x value to get (3x-2) (4x-1)