When factoring how do you know which order to place the numbers in the parenthesis?

For example, if you are factoring: 2x^2 - x - 6 how do you know if it should be (2x+3)(x-2) or if it the last two numbers should be reversed like (2x-2)(x+3)? Also, how do you know which numbers are positive and which negative, what are the rules of the signs?When factoring how do you know which order to place the numbers in the parenthesis?
There's a very quick way, let's try an expanded binomial square:


x^2 - 5x + 6


First make the two binomials --%26gt; x^2- 5x + 6 = (x ) (x )


with the srqt of first term





The signs are like this always:


-) In the first binomial goes the same sign that the second term


so (x - ) (x )


-) In the second binomial goes the multiplication of second and third term signs, that means - * + = -





Finally you get --%26gt; (x - ) (x - )


Remember to put first the bigger number in absolute value, of course.





Good Luck!!!





P.D: you'll get (x - 3)(x - 2) at the endWhen factoring how do you know which order to place the numbers in the parenthesis?
(2x + 3)(x - 2) multiply 2(-2) and 3(1), -4, 3,


add and you get -1..this is correct because you want -1x as your middle


term.