SOLUTION: does any one have time to help me with a problem? factor each expression 5x2+13x+6

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Question 88213: does any one have time to help me with a problem? factor each expression 5x2+13x+6
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
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