Factor the polynomial \( 9 x^{2}+66 x+121 \) completely.
Identify the polynomial to be factored.
The polynomial given is \( 9 x^{2}+66 x+121 \).
Factor the polynomial.
The polynomial can be factored as \( (3 x + 11)^{2} \).
The factorized form of the polynomial is \( \boxed{(3 x + 11)^{2}} \).
The factorized form of the polynomial \( 9 x^{2}+66 x+121 \) is \( \boxed{(3 x + 11)^{2}} \).
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