Step 1: Formula for degree of unsaturation.
The degree of unsaturation (DU) is calculated using the formula:
\[
DU = \frac{2C + 2 - H}{2}
\]
Where \( C \) is the number of carbons and \( H \) is the number of hydrogens.
Step 2: Calculation.
For \( \text{C}_{14}\text{H}_{12}\text{O}_2 \), substituting into the formula:
\[
DU = \frac{2(14) + 2 - 12}{2} = \frac{28 + 2 - 12}{2} = \frac{18}{2} = 9
\]
Step 3: Conclusion.
The degree of unsaturation is \( \boxed{9} \).

