Factor the given polynomial by finding the greatest common monomial factor (or the negative of the greatest common monomial factor) and rewrite the expression. \[ 33+3 x^{3} \]

Step 1 ：The given polynomial is a sum of two terms: a constant term and a cubic term. The greatest common monomial factor of these two terms is the greatest number that divides both 33 and 3. This is 3.

Step 2 ：Therefore, we can factor out 3 from the polynomial.

Step 3 ：The factored form of the given polynomial is \(\boxed{3\left(x^{3}+11\right)}\).