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To find $\bar{f}(x)$, you reduce each coefficient of $f(x)$ modulo 3. The coefficient of $x^4$ is 1, which remains 1.

Conditions: The polynomial is $f(x) = x^4 - x^3 + x^2 - 2x + 4$.; Coefficients are reduced modulo 3.

To find $\bar{f}(x)$, you reduce each coefficient of $f(x)$ modulo 3. The coefficient of $x^4$ is 1, which remains 1.

Conditions: The polynomial is $f(x) = x^4 - x^3 + x^2 - 2x + 4$.; Coefficients are reduced modulo 3.