Completely factor the polynomial.

12x^2 + 2x - 4

2 (3 x + 2) (2 x - 1)

I would reccomend using the rainbow method for this since there is a number infront of x^2

1. Find your magic number Multiply 12 * - 4 = - 48

2. You want a number that multiplies to - 48 but adds to 2

12 - 4 + 8

8 - 6 + 2 This is it.

3. Substitute those numbers for your middle number

12x^2 - 6x + 8x - 4

4. Factor by grouping

(12x^2 - 6x) + (8x-4)

5. Pull out GCF

6x (2x-1) + 4 (2x-1)

(6x+4) (2x-1)