SOLUTION: this is a factoring question 6x^2+13x+6 how do i factor it??

Question 49929: this is a factoring question
6x^2+13x+6
how do i factor it??
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Factor:

The factors will have the form:
where:
a*b = 6 {The coefficient of the first term in your expression)
an+bm = 13 (The coefficient of the second term in your expression)
m*n = 6 (The constant term in your expression)
For a*b = 6, a = 1 and b = 6 or a = 2 and b = 3
For m*n = 6, m = 1 and n = 6 or m = 2 and m = 3
Now you do a little trial & error processing (Educated guessing)
Try a = 2, b = 3 and m = 3, n = 2
Multiply these factors using FOIL to see if you get your original expression.
Simplify.
It works!
The factors are:
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