SOLUTION: I am having difficulty factoring trinomials, could you please help me with this problem? {{{ 16b^2+10b-21 }}} Thanks ahead of time.

Question 8426: I am having difficulty factoring trinomials, could you please help me with this problem?

Thanks ahead of time.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Factor:

How did I arrive at this solution? Trial & error mostly.
I know that I needed the factors of -21.
Well, there aren't that many so I tried:
(-1)(21), (1)(-21), (-3)(7), and (3)(-7)
I also know that I needed the factors of .
I tried: (16b)(b), (2b)(8b), and (4b)(4b)
So I tried these in various combinations to give the desired middle term of +10b. It didn't take too many tries to get:
as the factors of
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