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How to Factor Trinomials Part II

For example: 2X² + X -6


Step One: Multiply the first and the last term, in this case 2 and 6

2(6) = 12
Step Two: Find the factors of 12 give you 1X when added.
Factors of 12= (6,2),(12,1),(4,3)
You can see that (4,3) works perfectly because (4-3=1) , in this case

4X - 3X = X
Step Three: Arrange your factors so they have something in common,
for example: 2X² +4X since I can factor the 2X and -3X-6 since I can factor the 3

2X²+4X-3X -6
Now factor the first two terms

2X²+4X-3X -6

2X(X+2)-3(X+2)

(2X-3)(X+2)

Final answer: (2X-3)(X+2)

Practice Problems: