What is the factored form of 6n^4-24n^3+18n

Let

First thing I notice is that all those terms are multiples of 6 and n so we can pull those straight out,


Now the trickier part, notice if we let n=1 then . By the factor-remainder theorem this means  is a factor of .

Now perform polynomial division, dividing  into . You are left with the quotient  hence

It says in the questions that it is 6.5?