x2 - x - 6 =
Simplified. I know the answer is (x+2)(x-3), but I don't understand how the answer was achieved. Can I please get an explanation of this?

[tex]x^2-x-6=(x+2)(x-3)\\\\-x=2x-3x\\-6=2\times(-3)\\\\or\\\\x^2-x-6=x^2+2x-3x-6=x(x+2)-3(x+2)=(x+2)(x-3)[/tex]

I had a lot of trouble with this when my algebra class started doing it,a long time ago.The key is this:  Look at the -6 at the end.  You have to find two factorsof that number that add up to the -1 in the middle.Here are the possible factors of -6 :-1 ... 6+1 ... -6-2 ... 3+2 ... -3Can you find a pair on the list that adds up to -1 ?  How about +2 and -3 ?Their product is -6 and their sum is -1.  That's what you need. Now set up a couple of binomial factors like this:  (x....) (x....) and write in the pair of numbers you found:  (x + 2) (x - 3)That's the factored form of the original expression.