To factor the expression \( \frac{1}{4}x + \frac{19}{4} \), we can start by factoring out the common factor, which is \( \frac{1}{4} \).
- Factor out \( \frac{1}{4} \): \[ \frac{1}{4}(x + 19) \]
So, the completely factored form of the expression \( \frac{1}{4}x + \frac{19}{4} \) is: \[ \frac{1}{4}(x + 19) \]