Looking at the x^2x2 coefficient, 22, we know that the coefficients of xx in each factor can only be 11 and 22 since no other integers multiply to 2.
Therefore we can set up the factors as:
(2x - "＿＿")*(x - "＿＿")
We know that both of the operations in the factors must be subtraction because 12 is positive and -11 is negative.
To find out what goes in the blanks, we need to check the factors of 12:
1 and 12
2 and 6
3 and 4
1 and 12 can't work, because no matter what side each is on, 12 times anything will be greater than 11.
2*2 + 1*6 is 10, and 2*6 + 1*2 is 14, neither of which are 11.
Finally, we can try pair 3 and 4. Feel free to try both of them yourself to see why the first must be 3 and the second must be 4, not the other way around!
