How do I factor by the trial and error method?

3x^2-14x-5=

since 3 and 5 are both prime
the factors are going to be
(3x+/-?)(x+/-?)
(?+/-1)(?+/-5)
3*-5 = -15
1*1=1
-15+1=-14
(3x+1)(x-5)

[trial and error does not mean you can't think :D)
 
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