#### Answer

3x(x-11)(x-1)

#### Work Step by Step

First factor out the GCF.
3x$^3$-36x$^2$+33x
3x(x$^2$-12x+11)
In the trinomial x$^2-12x+11, b=-12 and c=11.
The set of factors of c whose sum is equal to b are -11 and -1.
Therefore the final factorization is:
3x(x-11)(x-1)