Question 88213
This is what I call Advanced Trinomial Factoring again.

5x2+13x+6


First times First MUST be:
(5x____)(x____)


The Last times Last has several possibilities.  It could be 1*6 or 6*1.  It could be 2*3 or 3*2.  You need to get a combination of numbers such that the OUTER times OUTER plus the INNER times INNER will add up to the middle term which is 13x.  The combination that works is 3*2.  See below:
(5x+3)(x+2)


Notice that the OUTER times OUTER would be 5x*2 = 10x, and the INNER times INNER would be 3*x = 3x.  This adds up to 13x, so this is the answer:


(5x+3)(x+2) 


R^2