Question

How would I factor:

3x^2 - x - 2 = 0

Answer 1

3x^2 - x - 2 = 0
3x^2 - 3x + 2x -2 =0
3x(x-1) +2(x-1) =0
(3x+2)(x-1)=0

Answer 2

what happens in that second step?

Answer 3

Hmm.. just a little trick...
since -x = -3x+2x
This helps factoring by grouping

Answer 4

ahh i think i see

Answer 5

Actually, my way of doing factorization is this:

But it seems more difficult to understand :|