Trying to my son here can someone ?

6x^4+2x³-6x²-14x-1 ÷3x+1

we got 2x³-2x-4 3/3x+1 r

i can't write all the steps out on here because it would take just want to know if this is what anyone else gets and if not can you us? just need to know if we are working this correctly or

also i would guess that being that there is a remainder then this is not a factor?

First what I did was try to factor out the bottom using synthetic division and got a remainder as well, so no 3x + 1 is not a factor.
I tried to factor the numerator, but came up empty so I plugged it into my calculator for the factors and the numerator has no roots that are integers :(

I tried to keep working on it on paper, but there were no factors that are integers :(
I hope I helped you some :|

Your answer should be “b” i truly hope i could ! good luck (: