factor completely:
6x^2-5x+1

Question

factor completely:
6x^2-5x+1

anonymous · Answer

This one is tougher... I'll tell you my thought process

anonymous · Answer

the last term's factors usually add up to the center term. Since the only factors are 1 and 1 and they don't add up to 5, I look then at the first term

anonymous · Answer

i have to show my work luis

anonymous · Answer

you only have two choices if it is going to factor using integers
either $(2x-1)(3x-1)$ or $(6x-1)(x-1)$ you can check which one works

anonymous · Answer

i know the answer is (2x-1)(3x-1) but how do we get to that?

anonymous · Answer

the only way to get the 1 at then end $1\times 1$ or $-1\times -1$ and since the middle term is negative it must be $-1\times -1$ 
that is why there are only two options, as now the only way to get $6x^2$ is $3x\times 2x$ or $6x\times x$