Question

Completely factor the polynomial.
12x^2 + 2x - 4

Answer 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)

Answer 2

2 ( 3 x + 2 ) ( 2 x − 1 )