The expression you provided can be broken down as follows:
- "the square of a number" can be represented as \( x^2 \) (where \( x \) is the number).
- "the quotient of the square of a number and 12" can be represented as \( \frac{x^2}{12} \).
- "plus 8" means we add 8 to the previous expression.
Putting it all together, the complete expression statement can be represented as:
\[ \frac{x^2}{12} + 8 \]