Problem

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

Answer

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Answer

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

Steps

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 \(\boxed{3\left(x^{3}+11\right)}\).

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