6x^2+2x+3x+1=
2x(3x+1)+1(3x+1)
(3x+1) (2x+1)
The answer is (3x + 1)(2x + 1)
Since the constant is 1 you find the factors of the leading coefficient, 6 that have a sum of 5. The numbers 3 and 2 fit the bill. I hope that helps.
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