Hello from MrBillDoesMath!
Answer:
(3 x - 1) (2 x - 1)
Discussion:
Polynomial = 6x^2 -5x + 1.
Look at the factors of the leading (x^2) term: 6. Factors of 6 are 2 and 3 and 3-2 equals 1 which is the constant term. So the numbers 2 and 3 are key to the factorization.A little fiddling around (how's that for a math concept!) shows the factorization is
(3 x - 1) (2 x - 1)
Note that 3 and 2 appear in the factorization.
Thank you,
MrB