<s>[INST] This problem is about finding the remainder when a polynomial is divided by another polynomial. Given the polynomials:
\[ f(x) = x^3 + 2x^2 + 3x + 4 \]
\[ g(x) = x^2 + 2x + 1 \]

Find the remainder when $f(x)$ is divided by $g(x)$.[/INST]