It looks like there might be a formatting issue in the expression you provided for \( F(x) \). Assuming the correct expression is \( F(x) = 3x^2 + 2x + 4 \), to find \( F(-2) \), you substitute \( x = -2 \) into the expression:
\[ F(-2) = 3(-2)^2 + 2(-2) + 4 \]
\[ F(-2) = 3(4) - 4 + 4 \]
\[ F(-2) = 12 - 4 + 4 \]
\[ F(-2) = 12 \]
Therefore, \( F(-2) = 12 \).