how do you factor 2x^2+10x-12?
First divide it by two. That gives you
2(x^2 +5x -6)
If you can find two numbers with a product of -6 and a sum of +5. The choice would be +6 and -1, so use them for the factors.
2(x+6)(x-1) works
2(x^2 +5x -6)
If you can find two numbers with a product of -6 and a sum of +5. The choice would be +6 and -1, so use them for the factors.
2(x+6)(x-1) works